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Table 2 Separation, reliability, fit, and dimensionality by subscale and analysis

From: Rasch analysis of the Meaning in Life Questionnaire among adults from South Africa, Australia, and New Zealand

Analysis

Separation

Reliability

Infit MNSQ

Outfit MNSQ

Dimensionality and local independence

Ā 

Person

Item

Person

Item

M

SD

M

SD

Eigenvalue of 1st contrast

% Variance explained

Max residual r

MLQ-P

2.00

3.84

.80

.94

1.01

0.57

1.01

0.59

1.7

59.3

.04

MLQ-P-4

2.42

5.81

.85

.97

0.99

0.16

0.96

0.14

1.6

69.7

None

MLQ-P-4 1122345

2.41

5.91

.85

.97

0.99

0.14

0.98

0.14

1.6

69.1

None

MLQ-P-4 1222345

2.43

5.71

.86

.97

0.99

0.14

0.96

0.14

1.4

69.0

None

MLQ-S

2.45

5.90

.86

.97

0.99

0.17

0.97

0.17

1.6

68.7

None

MLQ-S 1223345

2.50

5.59

.86

.97

0.99

0.17

0.99

0.17

1.6

63.5

None

MLQ-S 1233456

2.52

5.74

.86

.97

0.99

0.16

0.98

0.99

1.6

66.5

None

Ideal values

>2

>3

>0.8

>0.9

<1.4

Small

<1.4

Small

<2

>40Ā %

<0.2

  1. Note. MNSQ mean square statistic, Eigenvalue of 1 st contrast eigenvalue of the 1st contrast in the Rasch principal components analysis of the residuals, % Variance explained % variance explained by the Rasch component in the Rasch principal components analysis of the residuals, Max residual r maximum positive residual correlation, MLQ-P original Presence of Meaning subscale of the Meaning in Life Questionnaire, MLQ-P-4 MLQ-P with item 9 removed, MLQ-P-4 1122345 MLQ-P-4 with response categories 1 and 2 collapsed and categories 3 and 4 collapsed, MLQ-P-4 1222345 MLQ-P-4 with response categories 2, 3, and 4 collapsed, MLQ-S original Search for Meaning subscale of the Meaning in Life Questionnaire, MLQ-S 1223345 MLQ-S with response categories 2 and 3 collapsed and categories 4 and 5 collapsed, MLQ-S 1233456 MLQ-S with response categories 3 and 4 collapsed