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Table 5 Estimation of the parameters associated with the covariates explaining the mean of the latent trait “Mental Health” (β μ ) and with the covariates explaining the variance of the latent trait (γσ 2 )

From: Spatio-temporal Rasch analysis of quality of life outcomes in the French general population. Measurement invariance and group comparisons

 

Effect

Estimate

Standard error

p-value

Variables explaining the mean of the latent trait (βμ)

Constant (μ*)

0.5924

0.0313

<0.0001

Women

−0.4654

0.0186

<0.0001

Survey 2003

−0.1824

0.0264

<0.0001

Ager

−0.0936

0.0076

<0.0001

North, Western Paris Basin

−0.1650

0.0319

<0.0001

East, Eastern Paris Basin

−0.0872

0.0238

0.0002

West, South-West

0.1110

0.0319

0.0005

Ager*(North, West, South-West)

−0.0425

0.0132

0.0005

Women*(Western Paris Basin)

0.1421

0.0552

0.0101

Variables explaining the variance of the latent trait (γσ2)

Constant (σ2*)

1.6797

0.0471

<0.0001

Ager

0.1080

0.0147

<0.0001

North, Eastern and Western Paris Basins, South-East

−0.1349

0.0530

0.0110

East, West, South-West

−0.2305

0.0562

<0.0001

Mediterranean Basin

0.1549

0.0792

0.0505

Explained variance

Estimated variance without covariates: σ ^ 0 2 (k0)

1.8377 (46)

Estimated variance with covariates: σ ^ 2 (k)

1.7436 (54)

Rate of explained variances: τ

5%

  1. Ager is a categorical variable taking values 0 for the 18–34, 1 for the 35–44, 2 for the 45–64, 3 for the 65–74, and 6 for the 75–84 age groups.
  2. Women is a variable coded 1 for women and 0 for men.
  3. Survey 2003 is coded 1 for the year 2003 and 0 for year 1995.
  4. Region names are dummy variables coded 1 for the cited region and 0 for other geographical areas.