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Table 3 Cross-sectional measurement invariances of the SQQ-9 (N = 595)

From: Assessing psychometric properties and measurement invariance of the Sleep Quality Questionnaire among healthcare students

Hypothesis

Baseline

Follow-up

χ2 (df)

P

Δχ2 (Δdf)

CFI

ΔCFI

TLI

RMSEA

χ2 (df)

P

Δχ2 (Δdf)

CFI

ΔCFI

TLI

RMSEA

Gender (male vs. female)

 Configural

111.148 (52)

 < 0.001

 

0.978

 

0.969

0.062

95.229 (52)

 < 0.001

 

0.989

 

0.984

0.053

 Metric

150.822 (76)

 < 0.001

33.242 (24)

0.972

-0.006

0.973

0.058

109.290 (77)

0.009

20.035 (25)

0.991

0.002

0.992

0.038

 Scalar

156.553 (83)

 < 0.001

8.266 (7)

0.972

0.000

0.976

0.055

118.074 (84)

0.008

8.439 (7)

0.991

0.000

0.992

0.037

 Strict

165.150 (92)

 < 0.001

9.936 (9)

0.972

0.000

0.978

0.052

142.833 (93)

0.001

19.219 (9)

0.987

-0.004

0.990

0.043

Age (< 20 years vs. ≥ 20 years)

 Configural

112.565 (52)

 < 0.001

 

0.978

 

0.969

0.063

94.722 (52)

 < 0.001

 

0.989

 

0.984

0.053

 Metric

132.548 (74)

 < 0.001

22.035 (22)

0.978

0.000

0.979

0.052

116.055 (77)

0.003

22.204 (25)

0.990

0.001

0.990

0.041

 Scalar

136.175 (81)

 < 0.001

6.723 (7)

0.980

0.002

0.982

0.048

139.158 (84)

 < 0.001

18.447 (7)

0.985

-0.005

0.988

0.047

 Strict

157.847 (90)

 < 0.001

16.489 (9)

0.975

-0.005

0.980

0.050

140.508 (93)

0.001

4.142 (9)

0.987

0.002

0.990

0.042

Grade (freshmen vs. sophomore vs. junior)

 Configural

139.330 (78)

 < 0.001

 

0.978

 

0.969

0.063

124.259 (78)

0.001

 

0.987

 

0.983

0.055

 Metric

189.512 (122)

 < 0.001

48.25 (44)

0.976

-0.002

0.978

0.053

157.349 (120)

0.013

38.003 (42)

0.990

0.003

0.991

0.040

 Scalar

206.646 (136)

 < 0.001

17.12 (14)

0.974

-0.002

0.980

0.051

185.991 (134)

0.002

22.742 (14)

0.986

-0.004

0.989

0.044

 Strict

233.238 (154)

 < 0.001

25.082 (18)

0.971

-0.003

0.980

0.051

209.020 (152)

0.001

22.827 (18)

0.984

-0.002

0.989

0.044

Academic stage (undergraduate vs. postgraduate)

 Configural

116.681 (52)

 < 0.001

 

0.975

 

0.965

0.065

87.935 (52)

0.001

 

0.990

 

0.986

0.048

 Metric

131.931 (74)

 < 0.001

22.768 (22)

0.977

0.002

0.978

0.051

104.062 (73)

0.010

20.579 (21)

0.991

0.001

0.991

0.038

 Scalar

129.105 (81)

0.001

6.006 (7)

0.981

0.004

0.983

0.045

105.017 (80)

0.032

6.074 (7)

0.993

0.002

0.994

0.032

 Strict

139.436 (90)

0.001

10.624 (9)

0.981

0.000

0.985

0.043

106.547 (89)

0.099

7.634 (9)

0.995

0.002

0.996

0.026

Part-time job (yes vs. no)

 Configural

112.565 (52)

 < 0.001

 

0.978

 

0.969

0.063

87.335 (52)

0.002

 

0.991

 

0.987

0.048

 Metric

132.548 (74)

 < 0.001

22.035 (22)

0.978

0.000

0.979

0.052

110.009 (73)

0.003

22.219 (21)

0.990

-0.001

0.990

0.041

 Scalar

136.175 (81)

 < 0.001

6.723 (7)

0.980

0.002

0.982

0.048

116.311 (80)

0.005

7.369 (7)

0.990

0.000

0.991

0.039

 Strict

157.847 (90)

 < 0.001

16.489 (9)

0.975

-0.005

0.980

0.050

160.460 (89)

 < 0.001

26.298 (9)

0.981

-0.009

0.985

0.052

Hobby (yes vs. no)

 Configural

97.438 (52)

 < 0.001

 

0.983

 

0.977

0.054

76.544 (52)

0.015

 

0.993

 

0.990

0.040

 Metric

124.545 (74)

 < 0.001

24.819 (22)

0.982

-0.001

0.982

0.048

93.707 (73)

0.052

18.562 (21)

0.994

0.001

0.994

0.031

 Scalar

128.679 (81)

0.001

6.301 (7)

0.983

0.001

0.985

0.045

96.786 (80)

0.097

4.983 (7)

0.995

0.001

0.996

0.027

 Strict

146.834 (90)

 < 0.001

16.169 (9)

0.979

-0.004

0.983

0.046

100.007 (89)

0.200

5.295 (9)

0.997

0.002

0.998

0.020

Stress coping strategy (emotion-focused vs. solution-focused vs. avoidance coping)

 Configural

116.077 (78)

0.003

 

0.983

 

0.976

0.050

126.775 (78)

 < 0.001

 

0.986

 

0.980

0.056

 Metric

142.304 (116)

0.049

32.913 (38)

0.988

0.005

0.989

0.034

189.980 (116)

 < 0.001

49.605 (38)

0.978

-0.008

0.980

0.057

 Scalar

157.500 (130)

0.051

14.946 (14)

0.988

0.000

0.990

0.033

205.362 (130)

 < 0.001

15.871 (14)

0.978

0.000

0.982

0.054

 Strict

183.809 (148)

0.024

21.953 (18)

0.984

-0.004

0.988

0.035

217.174 (148)

 < 0.001

16.92 (18)

0.980

0.002

0.985

0.049

GAD-2a (< 3 vs. ≥ 3)

 Configural

113.282 (52)

 < 0.001

 

0.974

 

0.964

0.063

92.411 (52)

 < 0.001

 

0.988

 

0.983

0.051

 Metric

132.781 (75)

 < 0.001

19.698 (23)

0.975

0.001

0.976

0.051

116.848 (75)

0.001

23.6 (23)

0.987

-0.001

0.988

0.043

 Scalar

160.990 (82)

 < 0.001

17.842 (7)

0.966

-0.009

0.970

0.057

131.597 (82)

 < 0.001

11.352 (7)

0.985

-0.002

0.987

0.045

 Strict

162.475 (91)

 < 0.001

5.622 (9)

0.969

0.003

0.976

0.051

144.219 (91)

 < 0.001

12.059 (9)

0.984

-0.001

0.987

0.044

PHQ-2b (< 3 vs. ≥ 3)

 Configural

101.368 (52)

 < 0.001

 

0.978

 

0.969

0.057

108.828 (52)

 < 0.001

 

0.981

 

0.974

0.061

 Metric

140.574 (74)

 < 0.001

30.446 (22)

0.970

-0.008

0.971

0.055

145.843 (74)

 < 0.001

29.661 (22)

0.976

-0.005

0.976

0.057

 Scalar

152.511 (81)

 < 0.001

10.341 (7)

0.968

-0.002

0.971

0.055

155.226 (81)

 < 0.001

9.521 (7)

0.975

-0.001

0.978

0.056

 Strict

156.096 (90)

 < 0.001

7.151 (9)

0.970

0.002

0.976

0.050

166.809 (90)

 < 0.001

12.053 (9)

0.974

-0.001

0.979

0.054

SRHQc (≤ 4 vs. > 4)

 Configural

122.313 (52)

 < 0.001

 

0.970

 

0.958

0.068

92.377 (52)

 < 0.001

 

0.988

 

0.984

0.051

 Metric

169.709 (75)

 < 0.001

42.357 (23)

0.959

-0.011

0.961

0.065

140.478 (74)

 < 0.001

43.219 (22)

0.981

-0.007

0.981

0.055

 Scalar

185.013 (82)

 < 0.001

14.724 (7)

0.955

-0.004

0.961

0.065

147.331 (81)

 < 0.001

8.323 (7)

0.981

0.000

0.983

0.053

 Strict

199.700 (91)

 < 0.001

15.206 (9)

0.953

-0.002

0.963

0.063

158.986 (90)

 < 0.001

12.501 (9)

0.980

-0.001

0.984

0.051

 Threshold

N/A

 > 0.050

N/A

≥ 0.950

≤ 0.010

≥ 0.950

≤ 0.080

N/A

 > 0.050

N/A

 ≥ 0.950

 ≤ 0.010

 ≥ 0.950

 ≤ 0.080

  1. SQQ-9 Sleep Quality Questionnaire (item 2 excluded), χ² chi-square, df degrees of freedom, CFI comparative fit index, TLI Tucker-Lewis index, RMSEA root mean square error of approximation, Δ change in χ², df, and CFI, N/A not applicable, GAD Generalized Anxiety Disorder, PHQ Patient Health Questionnaire, SRHQ Self-Rated Health Questionnaire
  2. aa score of 3 or greater implies possible anxiety symptoms
  3. ba score of 3 or greater implies possible depressive symptoms
  4. ca score greater than 4 implies poor self-rated health status (median score as cut point value)