Sample Characteristics
There were 15,637 respondents with complete data for the 10 social support items included in the HILDA questionnaire in wave 17 and 15,693 in wave 19. As shown in Table 1, sample characteristics were similar across each wave. The average age of respondents was 46 years, 47% were male, 10% spoke a language other than English and 30% had a long-term health condition.
Table 1
Characteristics of HILDA respondents in waves 17 and 19
Item
|
Wave 17 (N=15,637)
|
Wave 19 (N=15,693)
|
Age, M (SD)
|
45.5 (18.9)
|
46.1 (19.1)
|
Male, n (%)
|
7355 (47.0)
|
7370 (47.0)
|
Speak language other than English, n (%)˄
|
1569 (10.0)
|
1544 (9.8)
|
Long term health condition, n (%)˄
|
4670 (29.9)
|
4586 (29.2)
|
Marital status, n (%)˄
|
|
|
Married/de facto
|
10055 (64.3)
|
9398 (59.9)
|
Never married
|
3577 (22.9)
|
3589 (22.9)
|
Divorced/separated
|
1353 (8.7)
|
1984 (12.6)
|
Widowed
|
651 (4.2)
|
722 (4.6)
|
Employment status, n (%)˄
|
|
|
Full time
|
6649 (42.5)
|
6702 (42.8)
|
Part time
|
3267 (20.9)
|
3246 (20.7)
|
Retired
|
3061 (19.6)
|
3213 (20.5)
|
Unemployed/other
|
2639 (16.9)
|
2513 (16.0)
|
Household structure, n (%)
|
|
|
Lone person
|
2421 (15.5)
|
2477 (15.8)
|
Lone person with child
|
433 (2.8)
|
426 (2.7)
|
Couple with child
|
3642 (23.3)
|
3607 (23.0)
|
Couple without child
|
4985 (31.9)
|
5078 (32.4)
|
Other
|
4156 (26.6)
|
4105 (26.2)
|
SEIFA quintile, n (%) ˄
|
|
|
1-2 (most disadvantaged)
|
2928 (18.7)
|
2907 (18.5)
|
3-4
|
3105 (19.9)
|
3072 (19.6)
|
5-6
|
3058 (19.6)
|
3132 (20.0)
|
7-8
|
3270 (20.9)
|
3309 (21.1)
|
9-10 (least disadvantaged)
|
3271 (20.9)
|
3261 (20.8)
|
SF-36 MCS score, M (SD)˄
|
48.0 (10.9)
|
47.3 (11.3)
|
SF-36 MCS score ≤42, n (%)˄
|
3673 (24.2)
|
4043 (26.3)
|
Psychological distress (K10) score, M (SD)˄
|
16.4 (6.9)
|
16.8 (7.2)
|
Psychological distress (K10) score ≥22, n (%)˄
|
2895 (18.5)
|
3151 (20.1)
|
˄missing data |
SEIFA, Socio-Economic Indexes for Areas; MCS, Mental Component Summary; K10 score ≥22 corresponds to psychological distress; MCS ≤42 corresponds to poor mental health |
Factor Structure and Item Selection
The Hull method indicated that a model with three factors provided the best fit in both waves 17 and 19 (Supplementary Figures 2a and 2b). Therefore, we fitted a three-factor model using ESEM and a MIRT model with three dimensions to select items. Factor loadings and model fit statistics from the ESEM in waves 17 and 19 are provided in Table 2, as are results from the MIRT graded response model with three dimensions in wave 19. The MIRT model indicated that all items had high discrimination on their respective factor in both waves.
Table 2
Item loadings and fit statistics from ESEM and MIRT models with three factors
|
Wave 17
|
Wave 19
|
|
ESEM
|
ESEM
|
MIRT
|
Item
|
F1 (λ)
|
F2 (λ)
|
F3 (λ)
|
F1 (λ)
|
F2 (λ)
|
F3 (λ)
|
a1
|
a2
|
a3
|
People don’t come to visit me as often as I would like
|
1.15
|
-0.06
|
0.04
|
1.16
|
-0.07
|
0.02
|
1.28
|
0.00
|
0.00
|
I often need help from other people but can’t get it
|
0.86
|
0.14
|
0.32
|
0.89
|
0.13
|
0.30
|
1.64
|
0.00
|
0.00
|
I don’t have anyone that I can confide in
|
0.38
|
0.17
|
1.01
|
0.17
|
0.06
|
1.30
|
0.00
|
2.24
|
0.00
|
I have no one to lean on in times of trouble
|
0.03
|
0.01
|
1.61
|
0.08
|
0.03
|
1.38
|
0.00
|
3.75
|
0.00
|
There is someone who can always cheer me up when I’m down
|
0.36
|
0.77
|
0.18
|
0.29
|
0.82
|
0.24
|
0.00
|
0.00
|
1.40
|
I often feel very lonely
|
0.98
|
0.19
|
0.29
|
0.85
|
0.19
|
0.43
|
1.40
|
0.00
|
0.00
|
I enjoy the time I spend with the people who are important to me
|
-0.01
|
0.76
|
0.07
|
0.01
|
0.78
|
0.01
|
0.00
|
0.00
|
1.52
|
When something’s on my mind, just talking with the people I know can make me feel better
|
-0.02
|
1.15
|
0.04
|
-0.01
|
1.15
|
0.07
|
0.00
|
0.00
|
1.98
|
When I need someone to help me out, I can usually find someone
|
0.46
|
0.92
|
0.19
|
0.46
|
0.90
|
0.22
|
0.00
|
0.00
|
2.65
|
Chi-square
|
234.63
|
243.63
|
-
|
CFI
|
0.992
|
0.992
|
|
TLI
|
0.977
|
0.975
|
|
RMSEA (90% CIs)
|
0.049 (0.043, 0.054)
|
0.051 (0.045, 0.056)
|
-
|
SRMR
|
0.013
|
0.012
|
|
F1-F3, factors 1 to 3; λ, standardized factor loading; CFI, Comparative Fit Index; RMSEA, Root Mean Square Error of Approximation; SRMR, Standardized Root Mean Square Residual; TLI, Tucker Lewis index. |
Three items (item 1: “People don’t come to visit me as often as I would like”, item 2: “I often need help from other people but can’t get it” and item 7: “I often feel very lonely”) had the strongest loadings on one factor, reflecting the concept of loneliness.
The second factor included four items reflecting social isolation, including item 6: “There is someone who can always cheer me up when I’m down”, item 8: “I enjoy the time I spend with the people who are important to me”, item 9: “When something’s on my mind, just talking with the people I know can make me feel better” and item 10: “When I need someone to help me out, I can usually find someone”. The items included in the loneliness and social isolation sub-scales are summarized in Supplementary Table 1.
Items 4: “I don’t have anyone that I can confide in” and 5: “I have no one to lean on in times of trouble” distinctly loaded onto a third factor. The use of two items to identify an underlying construct has been recognized as problematic, with true-score theory indicating that more items lead to better construct validity and reliability [49, 50]. Analysis of this two-item sub-scale was therefore discontinued. Item 3: “I seem to have lots of friends” was also omitted from further analyses due to low loadings (0.38) and theoretically not reflecting the concept of loneliness or social support.
Validation of Factor Structure
CFA results indicated good fit of the three-factor model, with a CFI of 0.953 in wave 17 and 0.955 in wave 19, and a SRMR of 0.050 in wave 17 and 0.048 in wave 19. Model fit statistics for the CFA are also provided in Table 3.
Table 3
Fit statistics from the CFA model with three factors
|
Wave 17
|
Wave 19
|
Chi-square
|
1320.78
|
1267.92
|
CFI
|
0.953
|
0.955
|
TLI
|
0.929
|
0.932
|
RMSEA (CIs)
|
0.083 (0.080, 0.087)
|
0.082 (0.078, 0.086)
|
SRMR
|
0.050
|
0.048
|
Measurement Invariance
Measurement invariance for the three-factor scale across waves, gender and age are shown in Table 4. Results showed evidence for full configural, metric, scalar and strict invariance across waves 17 and 19. In Wave 19, we found evidence for configural and partial scalar invariance across gender. There was also evidence for configural and partial metric invariance across age.
Table 4
Measurement invariance for the three-factor model across waves and gender
|
AIC
|
aBIC
|
χ²
|
Δ χ²
|
p-value
|
CFI
|
ΔCFI
|
RMSEA
|
ΔRMSEA
|
SRMR
|
ΔSRMR
|
Across waves (17 and 19)
|
|
|
|
|
|
|
|
|
|
|
|
Configural invariance
|
933079.20
|
933399.13
|
4931.2
|
|
|
0.95
|
|
0.07
|
|
0.04
|
|
Metric invariance
|
933074.19
|
933363.16
|
4938.2
|
7.0
|
0.60
|
0.95
|
0.00
|
0.06
|
-0.01
|
0.04
|
0.00
|
Scalar invariance
|
933068.25
|
933326.27
|
4944.2
|
6.0
|
0.42
|
0.95
|
0.00
|
0.06
|
0.00
|
0.04
|
0.00
|
Strict invariance
|
933069.55
|
933281.12
|
4963.5
|
19.3
|
0.58
|
0.95
|
0.00
|
0.06
|
0.00
|
0.04
|
0.00
|
Across sex in Wave 19 (male and female)
|
|
|
|
|
|
|
|
|
|
|
|
Configural invariance
|
427284.77
|
427556.50
|
2353.1
|
|
|
0.95
|
|
0.07
|
|
0.04
|
|
Metric invariance
|
427332.53
|
427577.96
|
2412.9
|
59.8
|
<0.001
|
0.94
|
-0.01
|
0.07
|
0.00
|
0.05
|
0.01
|
Partial metric invariance
|
427383.94
|
427642.52
|
2458.3
|
45.4
|
<0.001
|
0.94
|
0.00
|
0.07
|
0.00
|
0.05
|
0.00
|
Scalar invariance
|
427597.94
|
427817.08
|
2690.3
|
232.0
|
<0.001
|
0.94
|
0.00
|
0.07
|
0.00
|
0.05
|
0.00
|
Partial scalar invariance
|
427343.91
|
427576.19
|
2413.3
|
0.4
|
0.79
|
0.94
|
0.00
|
0.07
|
0.00
|
0.05
|
0.00
|
Strict invariance
|
427769.40
|
427949.09
|
2879.8
|
466.5
|
<0.001
|
0.94
|
0.00
|
0.06
|
0.01
|
0.07
|
0.02
|
Across age categories
|
|
|
|
|
|
|
|
|
|
|
|
Configural invariance
|
459166.47
|
459834.67
|
2858.5
|
|
|
0.95
|
|
0.07
|
|
0.05
|
|
Metric invariance
|
459288.70
|
459849.99
|
3028.7
|
170.2
|
<0.001
|
0.95
|
0.00
|
0.07
|
0.00
|
0.05
|
0.00
|
Partial metric invariance
|
459170.39
|
459802.96
|
2869.0
|
10.5
|
0.08
|
0.94
|
-0.01
|
0.07
|
0.00
|
0.05
|
0.00
|
Scalar invariance
|
459616.90
|
460071.27
|
3404.9
|
535.9
|
<0.001
|
0.94
|
0.00
|
0.07
|
0.00
|
0.06
|
0.01
|
Partial scalar invariance
|
460232.25
|
460472.81
|
2602.2
|
-266.8
|
<0.001
|
0.94
|
0.00
|
0.07
|
0.00
|
0.06
|
0.00
|
Strict invariance
|
460800.67
|
460983.31
|
3196.6
|
594.4
|
<0.001
|
0.94
|
0.00
|
0.07
|
0.00
|
0.06
|
0.00
|
AIC, Akaike information criterion; aBIC, sample size corrected Bayesian information criterion; CFI, comparative fit index; RMSEA, root mean square error of approximation; SRMR, standardised root mean squared residual; Δ, change. |
Internal Consistency
The Cronbach’s α and McDonald’s ω of the loneliness and social isolation scales in each of waves 17 and 19 are shown in Table 5. Across the two waves, both scales demonstrated good reliability, with the α and ω coefficients of 0.70 and 0.71 for the 3-item loneliness scale, respectively, in both wave 17 and wave 19. The 4-item social isolation scale reported respective α and ω coefficients of 0.80 and 0.81, respectively for both wave 17 and wave 19.
Table 5
Internal consistency of the loneliness and social isolation scales
|
Loneliness 3-item
|
Social Isolation 4-item
|
|
Wave 17
|
Wave 19
|
Wave 17
|
Wave 19
|
Cronbach’s α
|
0.70
|
0.70
|
0.80
|
0.80
|
McDonald’s ω
|
0.71
|
0.71
|
0.81
|
0.81
|
Construct Validity
The loneliness and social isolation scales were correlated significantly with the K10 and MCS. We saw a positive correlation with the loneliness sub-scale scale and K10, with correlation coefficients of 0.48 across the two waves. We found a negative correlation between the loneliness sub-scale and the MCS, with a consistent coefficient of -0.46. In contrast, the positively worded social isolation scale correlated negatively with the K10 and positively with the MCS, with coefficients of -0.37 and 0.38, respectively (Table 6).
Table 6
Spearman’s correlations, area under the curve and odds ratios for loneliness and social isolation scales
|
Wave 17
|
Wave 19
|
|
K10
|
MCS
|
K10
|
MCS
|
Spearman’s correlationsa
|
Loneliness
|
0.48
|
-0.46
|
0.48
|
-0.46
|
Social isolation
|
-0.37
|
0.38
|
-0.38
|
0.38
|
Receiver operating characteristic: area under the curve (AUC)b
|
Loneliness
|
0.78
|
0.75
|
0.77
|
0.74
|
Social isolation
|
0.73
|
0.70
|
0.73
|
0.70
|
Odds ratios – logistic regression (95% CIs)a,b
|
Loneliness (cut-off >4)
|
6.14
(5.58-6.75)
|
5.57
(5.07-6.12)
|
5.60
(5.10-6.14)
|
5.07
(4.62-5.55)
|
Social isolation (cut-off <4)
|
4.67
(4.09-5.33)
|
3.99
(3.49-4.56)
|
4.74
(4.15-5.42)
|
4.24
(3.70-4.85)
|
aAll significant at the 0.01 level |
bUsing K10 threshold for psychological distress ≥22 and MCS poor mental health ≤42 |
The AUC for the loneliness scale showed fair performance, with areas ranging from 0.77 to 0.78 against the K10 psychological distress scores, and from 0.74 to 0.75 for the MCS. Similarly, the AUC for the social isolation scale was consistently fair against the K10 and MCS, with coefficients of 0.73 and 0.70, respectively (Table 6).
The threshold for classification of loneliness was determined to be a median item score of less than 4, and for social isolation a median item score of greater than 4, as this represents having a majority level of agreement (for loneliness items) or disagreement (for social isolation items).
The results of the univariable logistic regression to assess the relationship between dichotomous loneliness and social isolation variables and the categorical indicators of psychological distress and poor mental health (from the K10 and MCS), are shown in Table 6. Using the threshold median score for loneliness of less than 4, we found that 15% of respondents were lonely in waves 17 and 19. For social isolation, a threshold median score of greater than 4 resulted in 6% of respondents being classified as socially isolated in each of the waves. Across the two waves, we found that individuals classified as lonely were approximately six times more likely to be psychologically distressed than non-lonely participants, and 5 times more likely to have poor mental health. Similarly, those classified as socially isolated were approximately 4.5 times more likely to be psychologically distressed than those not socially isolated, and four times more likely to have poor mental health.