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Research Article|Articles in Press

Six multidimensional sleep health facets in older adults identified with factor analysis of actigraphy: Results from the Einstein Aging Study

Open AccessPublished:May 26, 2023DOI:https://doi.org/10.1016/j.sleh.2023.03.002

      Abstract

      Objectives

      The concept of multi-dimensional sleep health, originally based on self-report, was recently extended to actigraphy in older adults, yielding five components, but without a hypothesized rhythmicity factor. The current study extends prior work using a sample of older adults with a longer period of actigraphy follow-up, which may facilitate observation of the rhythmicity factor.

      Methods

      Wrist actigraphy measures of participants (N = 289, Mage = 77.2 years, 67% females; 47% White, 40% Black, 13% Hispanic/Others) over 2 weeks were used in exploratory factor analysis to determine factor structures, followed by confirmatory factor analysis on a different subsample. The utility of this approach was demonstrated by associations with global cognitive performance (Montreal Cognitive Assessment).

      Results

      Exploratory factor analysis identified six factors: Regularity: standard deviations of four sleep measures: midpoint, sleep onset time, night total sleep time (TST), and 24-hour TST; Alertness/Sleepiness (daytime): amplitude, napping (mins and #/day); Timing: sleep onset, midpoint, wake-time (of nighttime sleep); up-mesor, acrophase, down-mesor; Efficiency: sleep maintenance efficiency, wake after sleep onset; Duration: night rest interval(s), night TST, 24-hour rest interval(s), 24-hour TST; Rhythmicity (pattern across days): mesor, alpha, and minimum. Greater sleep efficiency was associated with better Montreal Cognitive Assessment performance (β [95% confidence interval] = 0.63 [0.19, 1.08]).

      Conclusions

      Actigraphic records over 2 weeks revealed that Rhythmicity may be an independent factor in sleep health. Facets of sleep health can facilitate dimension reduction, be considered predictors of health outcomes, and be potential targets for sleep interventions.

      Keywords

      Introduction

      Appreciation for the nuances of sleep health has grown with time. The concept of sleep deficiency was initially defined in 2011 as insufficient sleep duration and/or inadequate sleep quality.

      National Center on Sleep Disorders Research. National Institutes of Health Sleep Disorders Research Plan; 2011.

      This overarching definition, although conceptually useful for relating sleep to health and well-being outcomes, oversimplifies the analytical and conceptual complexity of distinguishing those measures. Positively framed health promotion can often be more effective than negative framing, as with “sleep deficiency.”
      In contrast to sleep deficiency, the RU-SATED model proposed in 2014 defines six self-reported sleep health “dimensions”: Regularity, Satisfaction with sleep; Alertness during waking hours; Timing of sleep; Sleep efficiency; and Sleep duration.
      • Buysse D.J.
      Sleep health: can we define it? Does it matter?.
      The RU-SATED model has demonstrated predictive value for health outcomes
      • Appleton S.L.
      • Melaku Y.A.
      • Reynolds A.C.
      • Gill T.K.
      • de Batlle J.
      • Adams R.J.
      Multidimensional sleep health is associated with mental well-being in Australian adults.
      including mental health
      • Furihata R.
      • Hall M.H.
      • Stone K.L.
      • et al.
      An aggregate measure of sleep health is associated with prevalent and incident clinically significant depression symptoms among community-dwelling older women.
      and all-cause mortality.
      • Wallace M.L.
      • Lee S.
      • Hall M.H.
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      Heightened sleep propensity: a novel and high-risk sleep health phenotype in older adults.
      • Lee S.
      • Mu C.X.
      • Wallace M.L.
      • et al.
      Sleep health composites are associated with the risk of heart disease across sex and race.
      RU-SATED may therefore be a useful tool for promoting healthy aging.
      Later extensions of the RU-SATED model identified a five-dimension structure defining sleep health, including Timing, Efficiency, Duration, Alertness/Sleepiness, and Regularity, using a factor analysis (FA) approach that included device-derived data from samples of older adults.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      A sixth factor, Rhythmicity, describing rhythmic diurnal patterns of sleep and wake, was also hypothesized but was not identified, potentially due to the relatively brief recording duration (4-5 days).
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      FA on objective data collected for longer time periods may be needed to assess the independent contributions of sleep rhythmicity.
      Evaluating sleep activity rhythms under natural conditions is essential because of the variety of environmental factors (eg, light exposure and daytime schedules), physical health factors (eg, decreases in bladder capacity), psychological health (eg, depression), and medications influencing older adults’ circadian and sleep patterns.
      • Evans B.D.
      • Rogers A.E.
      24-hour sleep/wake patterns in healthy elderly persons.
      The optimal way to measure circadian patterning in the context of all these factors is with noninvasive, unobtrusive, validated actigraphy, which can be used to monitor sleep over long periods for better pattern detection. Circadian rhythm can be quantified from actigraphy data using cosinor analysis, which uses the raw activity values to detect rest/activity patterns not otherwise measured in typical daily estimates of sleep timing (eg, onset/offset) and duration.
      • Ancoli-Israel S.
      • Cole R.
      • Alessi C.
      • Chambers M.
      • Moorcroft W.
      • Pollak C.P.
      The role of actigraphy in the study of sleep and circadian rhythms.
      • Smagula S.F.
      Opportunities for clinical applications of rest-activity rhythms in detecting and preventing mood disorders.
      Prior work has acknowledged the importance of recognizing rhythmicity features for older adults among the multi-dimensions of sleep health but has not reached a standardized consensus on how to best capture its essence, perhaps due to relatively fewer days of actigraphy.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      • Wallace M.L.
      • Stone K.
      • Smagula S.F.
      • et al.
      Which sleep health characteristics predict all-cause mortality in older men? An application of flexible multivariable approaches.
      Recent research has shown relationships between neurodegenerative diseases and various facets of sleep health. For instance, compared with nondemented elderly controls, Alzheimer's Disease patients were reported to have earlier bedtimes, longer nocturnal sleep times, and reduced rapid eye movement sleep percent.
      • Montplaisir J.
      • Petit D.
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      • Bliwise D.L.
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      In a separate longitudinal study, bidirectional associations were reported between excessive daytime napping and the risk of Alzheimer’s dementia.
      • Li P.
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      Daytime napping and Alzheimer’s dementia: a potential bidirectional relationship.
      In addition, following up a group of older women for 4.9 years, researchers found associations between decreased activity rhythm amplitude/robustness and increased risk of dementia or mild cognitive impairment (MCI).
      • Tranah G.J.
      • Blackwell T.
      • Stone K.L.
      • et al.
      Circadian activity rhythms and risk of incident dementia and mild cognitive impairment in older women.
      Therefore, to comprehensively identify objective sleep health facets in older adults, including evaluating whether the hypothesized rhythmicity component is significant when using a longer time series, we conducted a FA of 2 + weeks of actigraphy in an older adult cohort. We first calculated summary statistics describing aspects of sleep from actigraphy records, and estimated rhythmicity features using an extended cosine model (ECM). Exploratory factor analysis (EFA) was performed to determine the number of factors and factor structure, validated by confirmatory factor analysis (CFA) using a different sample subset. We then examined the associations of the identified factors with global cognitive function.

      Methods

      Participants

      We used data from the Einstein Aging Study, a population-based cohort of community-residing adults over the age of 70 years, in Bronx County, NY. Systematic random sampling based on Medicare beneficiaries or New York City Registered Voter Lists was used to recruit participants. Participants in this study were all English-speaking, older than 70 years, and generally healthy without hearing or vision loss, cancer, severe psychiatric symptoms, current alcohol or substance abuse, and dementia within the last 12 months. Study participants completed standardized questionnaires of demographic and psychosocial information, neuropsychological tests, and a clinical neurological exam during in-person study assessments. During the session, participants were given actigraphy devices and were instructed to wear the watch on their non-dominant wrist for 16 consecutive days to collect information on their daily activity level and sleep patterns. All study protocols were approved by the Albert Einstein College of Medicine Institutional Review Board (IRB) and in accordance with the Declaration of Helsinki. Written informed consent was obtained from all participants at the study entry.
      Among a total of the 310 participants assessed between May 2017 and February 2020, 296 provided actigraphy data. Seven of these were excluded from the analysis because they did not provide a minimum of 7 days of valid actigraphy records. The final sample size for this analysis is thus 289 individuals who provided an average of 15.6 valid days (median of 16 days, range of 7-16 days) of actigraphy.

      Actigraphy processing

      Sleep actigraphy measures were collected with an accelerometer (Actiwatch Spectrum Plus; Philips-Respironics, Murrysville, PA) worn on the non-dominant wrist for 16 days, and downloaded with Philips Actiware software (version 6.0.4). Two independent scorers determined the daily cut-point, validity of days, and set sleep intervals using a previously validated algorithm without using information from a sleep diary.
      • Marino M.M.
      • Li Y.
      • Rueschman M.N.
      • et al.
      Measuring sleep: accuracy, sensitivity, and specificity of wrist actigraphy compared to polysomnography.
      The scorers adjudicated each recording for inter-rater agreement by verifying the number of valid days, cut-point, number of sleep intervals, and differences greater than 15 minute in duration and wake-after-sleep-onset for each sleep interval. A sleep actigraphy day was determined invalid and no sleep interval was set if there were ≥ 4 total hours of off-wrist time, except for the first and last study day, constant false activity due to battery failure, data unable to be recovered, or an off-wrist period of ≥ 60 minute within 10 minute of the scored beginning or end of a night sleep period. Sleep intervals, including naps, were scored if the duration was at least 20 minutes.
      During data processing, nighttime actigraphic sleep measures were calculated on the longest sleep duration interval that overlapped 10 PM and 8 AM (as consistent with previous studies).
      • Master L.
      • Nye R.T.
      • Lee S.
      • et al.
      Bidirectional, daily temporal associations between sleep and physical activity in adolescents.
      • Nahmod N.G.
      • Lee S.
      • Master L.
      • Chang A.-M.
      • Hale L.
      • Buxton O.M.
      Later high school start times associated with longer actigraphic sleep duration in adolescents.
      Daily (24-hour) actigraphy sleep measures were calculated on nighttime and nap sleep intervals. Parameter estimates of minimum, acrophase, up-mesor, down-mesor, alpha, amplitude, mesor, and beta were derived from fitting actigraphy movement data to an ECM.
      • Marler M.R.
      • Gehrman P.
      • Martin J.L.
      • Ancoli-Israel S.
      The sigmoidally transformed cosine curve: a mathematical model for circadian rhythms with symmetric non-sinusoidal shapes.
      A visual representation of the variables used in this study is presented in Fig. 1A and B.
      Fig. 1
      Fig. 1(A) Illustration of the actigraphy-derived 24-hour sleep parameters. (B) Illustration of the sleep parameters estimated by fitting the actigraphy data to the extended cosine model. (C) and (D) are examples of actigraphy records of participants with low and high scores of the rhythmicity factor. Activities of the participant with low rhythmicity (C) were sporadic with no clear rest/active pattern. In contrast, actigraphy records of the participant with a high rhythmicity score (D) showed a clear rest active pattern, with high activity level during active periods and consolidated sleep during rest periods. Note that the participant depicted in (C) also had a low Regularity factor score. SMEFF, sleep maintenance efficiency.

      Variable selection and coding

      We used a total of 24 variables in our FA, which included both summary statistics from actigraphy and parameter estimates from ECM. Summary statistics of actigraphic sleep information were averaged across all valid days to represent the overall sleep characteristics of the participant across the study period. All variables included in this study were objective measures of participants’ sleep features and were commonly used in sleep research. Among these variables, 13 of them had highly skewed distributions. To facilitate the convergence of the model, we coded all variables into ordinal data with five categories (minimum from the ECM model only has three categories), using quintiles from the sample. This approach was consistent with the work by Wallace et al.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      Variables selected in the study are listed in Table 2 with descriptions.

      The Montreal Cognitive Assessment (MoCA)

      Global cognitive functioning was assessed in person using a rapid screening instrument for mild cognitive dysfunction (MoCA-30, v7.2).

      Montreal Cognitive Assessment (MoCA). 〈https://www.mocatest.org/〉. Accessed June 3, 2022.

      This test assesses different cognitive domains: attention and concentration, executive functions, memory, language, visuoconstructional skills, conceptual thinking/abstract reasoning, calculations, and orientation, with a maximum score of 30.
      • Katz M.J.
      • Wang C.
      • Nester C.O.
      • et al.
      T-MoCA: a valid phone screen for cognitive impairment in diverse community samples.

      Mild cognitive impairment

      Participants were classified as having MCI or being cognitively unimpaired
      • Cerino E.S.
      • Katz M.J.
      • Wang C.
      • et al.
      Variability in cognitive performance on mobile devices is sensitive to mild cognitive impairment: results from the Einstein Aging Study.
      based on the Jak/Bondi algorithmic criteria
      • Bondi M.W.
      • Edmonds E.C.
      • Jak A.J.
      • et al.
      Neuropsychological criteria for mild cognitive impairment improves diagnostic precision, biomarker associations, and progression rates.
      • Jak A.J.
      • Urban S.
      • McCauley A.
      • et al.
      Profile of hippocampal volumes and stroke risk varies by neuropsychological definition of mild cognitive impairment.
      of global neuropsychological test performance.
      • Katz M.J.
      • Wang C.
      • Nester C.O.
      • et al.
      T-MoCA: a valid phone screen for cognitive impairment in diverse community samples.
      This approach has been shown to produce stable MCI diagnoses and to identify individuals who will progress to dementia.
      • Bondi M.W.
      • Edmonds E.C.
      • Jak A.J.
      • et al.
      Neuropsychological criteria for mild cognitive impairment improves diagnostic precision, biomarker associations, and progression rates.
      The neuropsychological test battery included two tests in each of five cognitive domains: (1) Memory: free recall from the Free and Cued Selective Reminding Test, Benson Complex Figure (Delayed); (2) Executive Function: Trail Making Test Part B (limit time 300 second), Phonemic Verbal Fluency (Letters F and L for 1 minute each); (3) Attention: Trail Making Test Part A (limit 300 second), Number Span (forward and backward); (4) Language: Multilingual Naming Test (total score), Category Fluency (Animals, Vegetables: 1 minute each); (5) Visual-spatial: Benson Immediate Recall, Wechsler Adult Intelligence Scale III Block Design. A participant was classified as having MCI if they met one or more of the following criteria: (1)> 1 standard deviation (SD) below the age, gender, and education-adjusted normative means, on both measures within at least one cognitive domain; or (2)> 1 SD below the age, gender, and education adjusted normative mean, in each of three of the five cognitive domains measured; or (3) a score of 4 on the Lawton Brody scale.
      • Lawton M.P.
      • Brody E.M.
      Assessment of older people: self-maintaining and instrumental activities of daily living.

      Factor analysis methods

      We randomly split the sample into two subsamples: the subsample with 100 participants was used for EFA and the rest of the data set (n = 189) was used for CFA. We kept more participants for CFA to ensure an adequate sample size for model fitting.
      For EFA, we performed Bartlett’s test of sphericity (P < .05) to confirm that our sample had patterned relationships, and calculated the Kaiser-Meyer-Olkin measure to check sampling adequacy (cut-off is above 0.6).
      • Kaiser H.F.
      An index of factorial simplicity.
      • Haiser H.F.
      • Rice J.
      Little Jiffy, Mark Iv.
      Given the data we used for EFA was coded as ordinal, polychoric correlations were used. We determined the number of factors by visually examining scree plots of eigenvalues, taking into consideration existing theories. We expected factors to be correlated; we used the oblimin rotation, an oblique rotation, and the default rotation of the fa() function in the psych package.

      Revelle W. psych: procedures for personality and psychological research. 〈https://cran.r-project.org/web/packages/psych/index.html〉. Accessed April 4, 2022.

      The factoring method was minchi. A median imputation method was applied to handle missing data (ECM parameters for one participant). Consistent with a prior study, the factor loading cutoff was set at an absolute value> 0.4.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      If a variable loaded multiple factors, we decided on the factor assignment based on the magnitude of the loading as well as theories and findings from previous studies.
      CFA was performed with the ordered data based on the factor structure identified by the EFA analysis. We performed separate CFAs for each factor to verify the single-factor structure based on the current sample size for CFA (n = 189). For factors with only two variables loaded on them, the factor loadings of the two observed variables were constrained to be the same to make the factor model identifiable. Model fitting criteria included the comparative fit index, Tucker-Lewis index, the root mean square error of approximation (RMSEA), and standardized root mean square residual, commonly used in structual equation models. Residual variances were correlated when necessary based on model modification indices and theoretical reasons. Missing observations were handled using full information maximum likelihood to retain as much information as possible. CFA procedures were performed using the cfa() function in the lavaan package.
      • Rosseel Y.
      lavaan: an R package for structural equation modeling.

      Illustration of the usage of the factor scores approach

      Given the non-normal distributions of the factor scores, the distribution-assumption-free Mann-Whitney U test was used to compare differences in factor scores for each of the factors for participants with and without MCI. The analysis was conducted in R.

      R. Core Team. R: a language and environment for statistical computing. R Foundation for Statistical Computing. 〈https://www.R-project.org/〉.

      Effect sizes were evaluated using the Glass rank biserial correlation coefficient (rg), calculated using the wilcoxonRG() function in rcompanion library.

      Mangiafico S. An R Companion for the Handbook of Biological Statistics. 2015. 〈https://rcompanion.org/rcompanion/a_02.html〉.

      Associations of the six sleep health factors and global cognitive outcome (MoCA) were explored using multiple linear regression with MoCA score as the dependent variable and the factor scores of the six sleep health factors as independent variables. The model was controlled for demographic variables, including age, gender, years of education, and race. The procedure was performed using the lm() function in R.

      R. Core Team. R: a language and environment for statistical computing. R Foundation for Statistical Computing. 〈https://www.R-project.org/〉.

      Results

      Sample descriptive

      Table 1 summarizes the demographic and clinical characteristics of the analytic sample. For the EFA sample, one participant did not have complete data. Four participants did not have complete data for CFA. The correlation of the variables was examined using both original continuous data (see Fig. 2A) and coded ordinal data (see Fig. 2B). The correlation matrix plots of the ordered data and the original continuous data showed very similar patterns and therefore coding the data into ordinals did not change the overall correlation structure.
      Table 1Clinical and sociodemographic characteristics of the analytic samples.
      Full sample (N = 289)
      Variable nameMean (SD) or % (n)
      Age, years, mean (SD)77.4 (4.9)
      Female, % (n)68.5 (198)
      Race, % (n)
       White, non-Hispanic45.0 (130)
       Black, non-Hispanic41.5 (120)
       Hispanic12.1 (35)
       Other1.4 (4)
      Education, years, mean (SD)15.0 (3.6)
      Marital status, % (n)
       Married32.2 (93)
       Separated1.4 (4)
       Widowed26.3 (76)
       Divorced22.5 (65)
       Never married17.7 (51)
      Smoking status, % (n)
       Current3.5 (10)
       Former35.3 (102)
       Never41.2 (119)
       Missing20.1 (58)
      Depressive symptoms (The Geriatric Depression Scale), mean (SD)
      Greater than five is suggestive of depressive symptoms.
      2.3 (2.0)
      Global cognition (MoCA: mean, SD)23.7 (3.5)
      Mild cognitive impairment (MCI), % (n)
       Yes30.8 (89)
       No69.2 (200)
      Hypoxemia, % (n)
      One participant did not provide data for global cognition.
      28.0 (81)
      Oxygen desaturation index, % (n)
      Total of 12 participants did not provide data for hypoxemia and oxygen desaturation index.
      13.2 (38)
      MoCA, Montreal Cognitive Assessment; SD, standard deviation.
      a Greater than five is suggestive of depressive symptoms.
      b One participant did not provide data for global cognition.
      c Total of 12 participants did not provide data for hypoxemia and oxygen desaturation index.
      Table 2Actigraphy variables considered in the factor analysis.
      Variable nameDescription
      Night rest interval(s)Total number of minutes between nighttime sleep onset and sleep offset, including wake minutes.
      Night total sleep timeTotal number of minutes asleep between nighttime sleep onset and sleep offset.
      24-h Total sleep timeTotal number of minutes asleep between sleep onset and sleep offset for each sleep interval in a 24-h day.
      24-h Rest interval(s)Total number of minutes between sleep onset and sleep offset for each sleep interval in a 24-h day, including wake minutes during sleep intervals.
      MidpointSleep midpoint is determined as the midpoint timing between nighttime sleep onset and sleep offset (wake time). The sleep midpoint is a measure of circadian timing.
      Wake-up timeWake time is determined by the scored actigraphic nighttime sleep duration end time (sleep offset): the time of the first 30-s epoch of activity > 10 counts that follow five consecutive epochs ≤ 10.
      Sleep onset timeSleep onset is determined by the scored actigraphic nighttime sleep duration start time: the time of the last 30-s epoch of activity > 10 counts followed by five consecutive epochs ≤ 10, indicating sleep.
      Up-mesorEstimated time of the switch from low to high activity from the ECM.
      AcrophaseEstimated time of maximum activity from the ECM.
      Down-mesorTime of switch from high to low activity from the ECM.
      Standard deviation of midpointSleep midpoint is determined as the midpoint timing between nighttime sleep onset and sleep offset (wake time). The standard deviation of this daily measure was calculated across valid actigraphy days per participant.
      Standard deviation of sleep onsetSleep onset is determined by the scored actigraphic nighttime sleep duration start time: the time of the last 30-s epoch of activity > 10 counts followed by five consecutive epochs ≤ 10, indicating sleep. The standard deviation of this daily measure was calculated across valid actigraphy days per participant.
      Standard deviation of wake timeWake time is determined by the scored actigraphic nighttime sleep duration end time (sleep offset): the time of the first 30-s epoch of activity > 10 counts that follow five consecutive epochs ≤ 10. The standard deviation of this daily measure was calculated across valid actigraphy days per participant.
      Standard deviation of 24-h total sleep time24 h total sleep time is the total number of minutes asleep between sleep onset and sleep offset for each sleep interval in a 24-h day. The standard deviation of this daily measure was calculated across valid actigraphy days per participant.
      Standard deviation of night total sleep timeNight total sleep time is the total number of minutes asleep between nighttime sleep onset and sleep offset. The standard deviation of this daily measure was calculated across valid actigraphy days per participant.
      AmplitudeEstimated amplitude from the ECM.
      Number of naps per dayNumber of naps is defined as the number of sleep intervals greater or equal to 20 min in duration within a 24-h day.
      Minutes napping per dayNap minutes are defined as the total minutes of napping per day. Naps were scored in sleep intervals equal to or longer than 20 min in duration.
      BetaDetermines whether the function rises and falls more steeply than the cosine curve. Large values produce nearly square curves (abrupt switches from high to very low activity and from low to high activity).
      MesorEstimated 24-h mean activity level, computed as Minimum + Amplitude/2
      AlphaWidth of peaks relative to troughs from ECM. Large values indicate the peaks are narrow (shorter period of daytime activity) and the troughs are wide (longer period of nighttime sleep); small values indicate the peaks are wide and the troughs are narrow.
      MinimumAn estimated minimum level of activity from the ECM.
      Sleep maintenance efficiencySleep maintenance efficiency is a measure of sleep quality. It is defined as the minutes of actual sleep between sleep onset and sleep offset divided by the nighttime sleep duration interval (%). (Nighttime TST/Nighttime Sleep Duration Interval) × 100.
      Wake after sleep onset (WASO)Nighttime WASO is measured as the total minutes of wake between nighttime sleep onset and sleep offset. The wake threshold was set to medium sensitivity (40 activity counts for 1-min epochs) in Actiware software.
      ECM, extended cosine model; TST, total sleep time.
      Fig. 2
      Fig. 2(A) Plot of correlation of the sleep parameters using raw data. (B) Plot of correlation of the sleep parameters using quintile-recoded data. Magnitudes of the correlations were represented by the shade of the ovals, with deep red indicating a strong negative correlation and deep blue indicating a strong positive correlation.

      EFA results

      Bartlett’s test of sphericity was significant, with the overall measure of sampling adequacy of the EFA sample = 0.72. Scree plot of eigenvalues (Fig. 3) supported a six-factor structure given the steep decrease in the first six eigenvalues and the fact that the first six factors had eigenvalues larger than one. We, therefore, performed EFA assuming a six-factor structure. EFA results are summarized in Table 3. Labels for the factors were assigned based on the RU-SATED domains.
      Table 3Factor structure from exploratory factor analyses.
      F1F2F3F4F5F6
      Factor 1: Duration
      Night rest interval(s)0.940.01−0.02−0.170.04−0.17
      Night total sleep time0.990.040.02−0.170.010.09
      24-h Total sleep time0.970.020.020.25−0.030.10
      24-h Total rest interval(s)0.850.040.000.29−0.02−0.23
      Factor 2: Timing
      Midpoint−0.040.98−0.09−0.01−0.05−0.04
      Wake-up time0.360.87−0.04−0.050.11−0.07
      Sleep onset time−0.440.90−0.040.03−0.070.06
      Up-Mesor0.220.87−0.030.000.32−0.01
      Acrophase0.070.850.06−0.02−0.220.09
      Down-Mesor−0.100.570.160.05−0.66−0.02
      Factor 3: Regularity (SD = standard deviation)
      SD Midpoint (bed to wake-up)0.100.030.83−0.040.050.05
      SD Sleep onset time0.010.010.860.01−0.120.06
      SD Wake-up time0.13−0.080.80−0.040.090.03
      SD 24-h Total sleep time0.00−0.040.87−0.21−0.04−0.07
      SD Night total sleep time−0.07−0.030.900.02−0.020.02
      Factor 4: Alertness/Sleepiness
      Amplitude0.020.020.020.640.08−0.24
      Number of naps per day−0.150.020.200.810.020.02
      Minutes napping per day−0.010.040.280.830.100.05
      Beta0.25−0.01−0.440.48−0.26−0.15
      Factor 5: Rhythmicity
      Mesor−0.350.050.00−0.270.72−0.11
      Alpha0.380.08−0.07−0.080.74−0.06
      Minimum−0.130.060.110.370.74−0.20
      Factor 6: Efficiency
      Sleep maintenance efficiency0.180.010.02−0.07−0.040.98
      Wake after sleep onset−0.190.010.040.040.030.94

      Factor 1: Duration (four variables)

      This factor captures how long participants sleep or spend in bed on average during the day or at nighttime. Four variables, night rest interval(s), night total sleep time (TST), 24-hour TST, and 24-hour total rest interval(s) loaded on this factor. These four measures summarized the duration of sleep at night, duration of rest time (including wake after sleep onset [WASO]) during the night, duration of sleep during the day (including night sleep and day-time naps), and duration of rest time during the day. Sleep onset time had a loading above 0.4 (ie, −0.44) on the Duration factor, but its highest loading was on the second factor at 0.90. Therefore, we assigned the sleep onset time variable to the second factor (ie, Timing), based on its highest loading and the fact that theoretically, it is appropriate to have sleep onset time to cluster with other Timing related variables.

      Factor 2: Timing (six variables)

      The Timing factor captures when participants typically had their nighttime sleep. Among the six variables, three of them were from means of actiware summary statistics, including sleep onset time, wake-up time and midpoint. The remaining three variables were from the ECM model and also represented the timing of the curves. Specifically, the down-mesor corresponds to the time of switching from high to low activity, which is related to sleep onset time. Up-mesor represents the time of switching from low to high activity, which corresponds to wake-up time. Acrophase captures the time of maximum activity, or in other words, peaks of the curves.

      Factor 3: Regularity (five variables)

      The Regularity factor captures how much day-to-day variability participants had across a 16-day period in terms of sleep timing and duration, including midpoint, sleep onset time, wake-up time, 24-hour TST, and night TST. To facilitate interpretation, we reverse-coded the SD variables. Therefore, larger factor scores for the Regularity factor mean less variability and thus more regularity of the participants.

      Factor 4: Alertness/sleepiness (four variables)

      The Alertness/Sleepiness factor captures the wakefulness of participants during the daytime. The average number of naps per day and average minutes of napping per day represent the frequency and length of the naps of the participants during the daytime. The amplitude variable from ECM reflects the height of the peaks, where lower amplitude indicates less activity during daytime relative to nighttime. Daytime napping has been shown to reveal the accumulation of homeostatic sleep pressure (Polysomnographic delta power), or sleepiness.
      • Dijk D.J.
      • Beersma D.G.M.
      • Daan S.
      EEG power density during nap sleep: reflection of an hourglass measuring the duration of prior wakefulness.
      In turn, a nap generally increases subsequent alertness due to the dissipation of that homeostatic sleep drive.
      • Milner C.E.
      • Cote K.A.
      Benefits of napping in healthy adults: impact of nap length, time of day, age, and experience with napping.
      To facilitate interpretation, we reverse-coded number of naps and minutes of napping. We can expect participants with higher values of this factor to have less naps, shorter naps, and higher day-time activity levels. Beta from ECM also had the highest loading on this factor (−0.48). Beta represents how steep the curves are. Participants with low activity levels may have flatter curves and thus smaller beta estimates.

      Factor 5: Rhythmicity (three variables)

      The three variables loaded on the Rhythmicity factor were all from the ECM model characterizing diurnal (24-hour) rhythmic patterns across days. The minimum is the lowest point of the ECM function fitted to the activity rhythm. Mesor is the midline estimate of daily rhythm, computed as minimum plus half of the amplitude. Alpha quantifies the duration (width) of peak activity relative to the duration of the lowest activity (troughs of the curve), with larger values representing wider troughs and narrower peaks. High Rhythmicity was represented by higher values of minimum, mesor, and alpha, which indicated a relatively clear pattern of high daytime activity and longer duration and more consolidated night-time sleep.

      Factor 6: Efficiency (two variables)

      The Efficiency factor captures the nighttime sleep quality of the participants. Two variables were loaded on this factor, including sleep maintenance efficiency (SMeff) and WASO. Sleep with high efficiency should have low values for WASO and high SMeff values.

      CFA results

      CFA was performed based on the structure identified by the EFA. We performed CFA on each individual factor using the subsample for CFA (n = 189), as appropriate for the current sample size and extent of variables. To facilitate model interpretation, WASO was reverse coded so that higher WASO values represent less WASO time. Number of naps and minutes of napping were reverse coded so that higher values represent less napping and more alertness. All SDs of variables were also reverse coded so that larger values represent less variability across days and hence more regularity. Beta was not included in the final CFA results because initial analysis showed the loading for the beta was low at 0.15 (ie,< 0.4 cutoff) and it was not significant (P = .16). Excluding beta from final CFA results was consistent with prior work.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      Table 4 summarizes the CFA results. First of all, CFA models for the six factors met the model fitting indices criteria. comparative fit index and Tucker-Lewis index for all six CFA models were high, ranging from 0.92 to 1. RMSEAs were< 0.05 for four out of the six CFA models. Even though CFA for the Alertness/Sleepiness factor had an RMSEA with a 90% confidence interval (CI) of (0.06, 0.21) and Timing factor had an RMSEA 90% CI of (0.18, 0.24), they met all other three models fitting criteria and therefore we did not consider it as a major sign of model misfit. Standardized root mean square residuals for all models were< 0.08, ranging from 0.008 to 0.05.
      Table 4Confirmatory factor analysis results.
      LoadingsCFITLIRMSEA (90% CI)SRMR
      Factor 1: Duration1.001.000.00 (0.00, 0.08)0.020
      Night rest interval(s)1.18
      Night total sleep time1.22
      24-h Total sleep time1.42
      24-h Total rest interval(s)1.27
      Factor 2: Timing0.930.920.21 (0.18, 0.24)0.050
      Midpoint1.41
      Wake-up time1.12
      Sleep onset time1.27
      Up-Mesor1.05
      Acrophase1.31
      Down-Mesor1.10
      Factor 3: Regularity1.001.000.00 (0.00, 0.045)0.016
      SD Midpoint1.15
      SD Sleep onset time1.13
      SD Wake-up time0.95
      SD 24-h Total sleep time1.27
      SD Night total sleep time1.35
      Factor 4: Alertness/Sleepiness0.980.980.13 (0.06, 0.21)0.047
      Amplitude0.59
      Number of naps per day1.39
      Minutes napping per day1.41
      Factor 5: Rhythmicity1.001.040.00 (0.00, 0.10)0.037
      Mesor0.71
      Alpha0.43
      Minimum0.51
      Factor 6: Efficiency1.001.000.00 (0.00, 0.09)0.028
      Sleep maintenance efficiency1.38
      Wake after sleep onset1.38
      CFI, comparative fit index; CI, confidence interval; RMSEA, root mean square error of approximation; SD, standard deviation; SRMS, standardized root mean square residual; TLI, Tucker-Lewis index.
      Factor loadings for all factors based on the factor structure were all significant with a magnitude> 0.40, confirming the factor structure we previously identified. The magnitude of the factor loadings offers information on the importance of each measure in constructing the factor. For the Duration factor, 24-hour TST (1.42) and 24-hour total rest interval(s) (1.27) were the two most important factors. For the Timing factor, the three most important factors were midpoint (1.41), sleep onset time (1.27), and acrophase (1.31). SD of 24-hour TST (1.27) and night TST (1.35) contributed the most to the Regularity factor. For the Alertness/Sleepiness factor, the two napping-related factors contributed similarly (1.39 and 1.41). Mesor (0.71) contributed the most to the Rhythmicity factor. The factor loadings of the two variables for the Efficiency factor were constrained to be the same to make the CFA model identifiable.

      Results for examining the association between factor scores and global cognitive function

      Multiple linear regression was performed to examine the association between global cognitive performance (MoCA) and the factor scores of the six sleep health factors. Results are summarized in Fig. 4. After controlling for demographic variables, age, gender, years of education, and race, the model is significant with F (11,267) = 8.26, P < .01, and the model explained 22% of the variability in MoCA (Adjusted R2 = 0.22). Among the six sleep health factors, Efficiency was found to be significantly associated with MoCA performance, with participants who had greater sleep efficiency performing better on MoCA (β = 0.63 [0.19, 1.08]).
      Fig. 4
      Fig. 4Results for multiple linear regression analysis for examining the association between sleep health factors and global cognitive (MoCA) performance. The line not including 0 indicates a significant association between Efficiency and MoCA performance. MoCA, Montreal Cognitive Assessment.
      Mann-Whitney U tests were performed on each of the sleep factors to examine whether participants with or without MCI differ in the factor scores of each of the sleep dimensions. Results showed that participants without MCI (N = 200) tended to have more regularity in their sleep (median = 0.07, interquartile range (IQR) = [−0.75, 0.95]) compared to their MCI counterparts (N = 89, median = −0.18, IQR = [−0.90, 0.64]), but the difference was not statistically significant (W = 10,126, P = .06, rg = 0.14). In addition, a difference in sleep efficiency was also noted, but not statistically significant (W = 9964.5, P = .1, rg = 0.12), with non-MCI participants having more efficient sleep than participants with MCI (non-MCI group median = 0, IQR = [−0.70, 1.05]; MCI group median = 0, IQR = [−1.05, 0.70]). Future research with larger samples was required to further examine this effect. For the remaining four sleep dimensions (ie, Duration, Timing, Alertness/Sleepiness, Rhythmicity), no statistically significant differences were noted between MCI and non-MCI groups (Fig. 5).
      Fig. 5
      Fig. 5Comparison of mean percentiles for each actigraphic multi-dimensional sleep health factor for participants with and without mild cognitive impairment (MCI). The blue solid line indicates mean percentiles for each sleep health factor for participants without MCI. The red dashed line indicates the mean percentiles for each sleep health factor for participants with MCI.

      Discussion

      In this study, we used EFA to identify a six-dimension factor structure comprising the sleep health of older adults from 2 weeks of objectively collected actigraphy data and then validated the structure with CFA. The six factors were: Timing, Efficiency, Duration, Alertness/Sleepiness, Regularity, and Rhythmicity. Five of the six domains identified (all except Rhythmicity) were highly consistent with domains proposed in the RU-SATED model, excluding the Satisfaction domain because of its subjective nature. Five of these domains corroborate prior work on empirically derived sleep domains for older adults in particular.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      The sixth factor, Rhythmicity, was not found in prior work
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      and was identified in this analysis potentially due to the longer duration of actigraphy recording. The identified six-factor structure based solely upon objective (device-derived) data contributes an empirical step forward for the theoretical framework of multi-dimensional sleep health.
      We named our five factors based both on prior work with which our factor contents were consistent
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      and based on their contents. The Duration factor represents durations of rest intervals, as well as TST (ie, rest interval – WASO), both for the 24-hour sleep period and night sleep period. The Timing factor captures major time points when sleep starts (ie, sleep onset time and down-mesor), sleep ends (ie, wake-up time and up-mesor), sleep midpoint, and the highest point of day-time activity level (ie, acrophase). The Regularity factor describes day-to-day fluctuations of both timings of sleep (eg, marked by the midpoint, sleep onset time, and wake-up time) and duration of sleep (ie, 24-hour TST and night TST). Napping was largely captured within the Alertness/Sleepiness factor, as it may reflect the behavioral manifestation of sleep pressure. The Alertness/Sleepiness factor is also indicated by amplitude, which reflects peak intensity of activity. The Efficiency factor is characterized by high levels of SMeff and low values of WASO.
      The novel sixth factor, Rhythmicity, included mesor, alpha, and minimum from ECM. These were all derived using an ECM, which defines the shape of the extended cosine curves that characterize diurnal rhythms across days. In prior work, mesor was interpreted as an indicator of Alertness/Sleepiness, alpha as an indicator of Duration, and minimum as an indicator of Efficiency.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      Mesor represents the middle value of the ECM, alpha captures the duration of peaks relative to troughs, and the minimum is the lowest value of the ECM function. Each of these features is most reliably detected with a larger duration of data available.
      • Ancoli-Israel S.
      • Martin J.L.
      • Blackwell T.
      • et al.
      The SBSM guide to actigraphy monitoring: clinical and research applications.
      Therefore, shorter duration data such as the 4-5 days used in other work
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      may affect how these measures loaded in other work vs. ours, which used 16 days of actigraphy. These three factors of mesor, alpha, and minimum loaded together likely because larger Rhythmicity factor values would indicate higher average levels of activity during active periods and longer resting periods, which comprise a stronger rhythmicity pattern. Of note, amplitude did not load on rhythmicity but instead Alertness, as previously found.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      Since lower daytime alertness is associated with greater napping, the smoothing function calculating amplitude would lead to the daytime peaks in activity to be reduced or “masked” by the sporadic low-amplitude activity of naps, relative to those who remain more active and sustain daytime activity levels. We chose to name this novel factor according to the rhythmic dependence of its contents, or Rhythmicity. An example of a participant with a low factor score on Rhythmicity is presented in Fig. 1C, and an example of a participant with a high factor score on Rhythmicity is presented in Fig. 1D.
      The current project demonstrated one approach to quantify circadian rhythm using cosinor analysis on actigraphy data. Extracting rhythm-related indicators for older adults is important because of age-related circadian misalignment; circadian disturbances may also be harder to recover from for older adults.
      • Duffy J.F.
      • Zitting K.M.
      • Chinoy E.D.
      Aging and circadian rhythms.
      • Sakurai N.
      • Sasaki M.
      An activity monitor study on the sleep-wake rhythm of healthy aged people residing in their homes.
      Results from this FA can inform future work to identify sleep health profiles. For instance, FA results have been used to identify the most influential measure for each factor. The clustering approach was then applied to these influential factors to develop sleep health profiles for older adults.
      • Wallace M.L.
      • Lee S.
      • Stone K.L.
      • et al.
      Actigraphy-derived sleep health profiles and mortality in older men and women.
      In addition, factor scores of each sleep health dimension can be used in latent profile analysis to explore different sleep health profiles and then investigate how these profiles may associate with other health outcomes as well as predictors for a person's likelihood of having a certain sleep health profile. Compared with the composite-score approach, sleep health profiles may yield a more comprehensive understanding of multidimensional sleep health and can help inform targeted interventions. We illustrated the potential of this approach by examining the association of the factor scores with the global cognitive outcome for older adults. Analysis results show that sleep efficiency is significantly associated with the global cognitive outcomes as measured by MoCA.

      Limitations

      While our measures were calculated based on validated sleep measures collected by an actigraphy device, we are aware that this is not an exhaustive list. For instance, we purposely did not use participant perceived sleep timing self-reports in some constructed variables (eg, sleep onset latency), and sleep fragmentation as has been done in other factor analyses of older adult sleep.
      • Wallace M.L.
      • Yu L.
      • Buysse D.J.
      • et al.
      Multidimensional sleep health domains in older men and women: an actigraphy factor analysis.
      • Lim A.S.
      • Kowgier M.
      • Yu L.
      • Buchman A.S.
      • Bennett D.A.
      Sleep fragmentation and the risk of incident Alzheimer's disease and cognitive decline in older persons.
      Future studies may also wish to capture the unique aspects of sleep perceived by participants,
      • Brandolim Becker N.
      • Martins R.I.S.
      • Jesus S.N.
      • Chiodelli R.
      • Stephen Rieber M.
      Sleep health assessment: a scale validation.
      • Benitez I.
      • Roure N.
      • Pinilla L.
      • et al.
      Validation of the Satisfaction, Alertness, Timing, Efficiency and Duration (SATED) Questionnaire for Sleep Health Measurement.
      • Coelho J.
      • Lopez R.
      • Richaud A.
      • et al.
      Toward a multi-lingual diagnostic tool for the worldwide problem of sleep health: the French RU-SATED validation.
      • Furihata R.
      • Tateyama Y.
      • Nakagami Y.
      • et al.
      The validity and reliability of the Japanese version of RU-SATED.
      such as restorativeness, and explore the associations between the subjective and objective sleep health facets, and their unique associations with other health outcomes. Additionally, polysomnography measurement of sleep variables may provide more accurate estimates of sleep architecture and sleep apnea.
      • Chung J.
      • Goodman M.
      • Huang T.
      • Bertisch S.
      • Redline S.
      Multidimensional sleep health in a diverse, aging adult cohort: concepts, advances, and implications for research and intervention.
      Future work should also continue to integrate objectively measured sleep disorders. Prior work emphasized the critical importance of the impact of sleep disorders on multiple physical and mental health outcomes, such as diabetes, depression, and cardiovascular disease, as well as daytime performance, including safety, alertness during meetings, absenteeism, and administrative errors.
      • Rajaratnam S.M.
      • Barger L.K.
      • Lockley S.W.
      • et al.
      Sleep disorders, health, and safety in police officers.
      In addition, insomnia disorder status would impact the interpretation of the sleep measures estimated using actigraphy. Sleep disorder diagnoses were not available for this study, but future research will benefit from collecting diagnostic criteria.
      Future studies are needed to further replicate and extend the current findings to other populations and ages and identify the utility of these factors for targeting sleep health interventions on specific facets of sleep health associated with the outcome of interest.

      Conclusion

      Our study identifies six multidimensional sleep health facets in a population of older adults using a FA of objective sleep measures. These findings extend the literature by introducing a Rhythmicity dimension, which is especially important for health in older adults. These sleep health factors can be considered predictors of health outcomes, and targets for sleep interventions in older adults.

      Disclosures

      Outside of the current work, Orfeu M. Buxton received subcontract grants to Penn State from Proactive Life LLC (formerly Mobile Sleep Technologies) doing business as SleepSpace (NSF/STTR #1622766, NIH/NIA SBIR R43-AG056250, R44-AG056250), received honoraria/travel support for lectures from Boston University, Boston College, Tufts School of Dental Medicine, New York University, University of Miami, Uniserciety of Utah, University of Arizona, Eric H. Angle Society for Orthodontists, and Allstate, consulting fees from Sleep Number Corporation, and receives an honorarium for his role as the Editor-in-Chief of Sleep Health. Meredith L. Wallace discloses that she is a statistical consultant for Sleep Number Corporation, Health Rhythms, and Noctem Health, and receives an honorarium for her role as an Associate Editor of Sleep Health.

      Funding

      This work was supported by the National Institutes of Health P01-AG003949, R01AG062622, RF1AG056331-04, and facilitated research award from the Social Sciences Research Institute at the Pennsylvania State University.

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