Skip to main content

Table 2 Model fit for the three-staged Rasch analysis (n = 958 in each analysis)

From: Evaluation of the internal construct validity of the Personal Care Participation Assessment and Resource Tool (PC-PART) using Rasch analysis

Subscale

No. of items

Item response categories

Overall model fita

Overall Item fit residual (SD)b

Overall Person fit residual (SD)b

No. of items with disordered thresholds

No of misfitting itemsc

No of misfitting personsc

PSId

Items with uniform/non-uniform DIF

No. of item-pairs with response dependencye

Dimensionality

(a) by age

(% of significant t-tests)f

(b) by sex

Stage 1. All PC-PART items as one scale

         

(a) All original items

41

012

X2 = 2003.85, df (369), p < .001, (α = .001)

−0.07 (2.84)

−0.46 (1.23)

27

9 (D6 C1 E6 C5 E1 F4 E2 D7 C7)

21

0.93

(a) B2 D6 E2/ –

48

11.5%

(b) A5 B6 B7 C3 D9/ –

(95% CI 10.1-12.9%)

(b) All original items

41

001

X2 = 1743.19, df (369), p < .001, (α = .001)

-0.47 (2.14)

-0.54 (1.03)

NAg

3 (D6 D7 C1)

11

0.91

(a) B2 D6 E2/ –

39

7.1%

(b) A5 B6 B7 C4/ E3

(95% CI 5.7-8.5%)

(c) Removal of 6 items

35

001

X2 = 693.50, df (234), p < .001, (α = .001)

-0.46 (1.80)

-0.52 (0.87)

NA

0

6

0.88

(a) B2 E2/ –

5

7.52%

(b) C4/ –

(95% CI 6.1-8.9%)

Stage 2. Original PC-PART domains

         

Clothing

5

001

X2 = 316.31, df (15), p < .001, (α = .01)

-0.81, (4.23)

-0.34, (0.60)

NA

1 (A5)

0

0.54

(a) –/ –

1

–h

(b) A5/ –

 

Hygiene

8

001

X2 = 384.92, df (39), p < .001, (α = .006)

-1.03 (1.99)

-0.75 (0.86)

NA

0

0

0.68

(a) B2/ –

1

1.98%

(b) –/ B2 B6

Mobility

9

001

X2 = 539.17, df (54), p < .001, (α = .006)

-1.51 (3.38)

-0.42 (0.48)

NA

2 (D6 D7)

0

0.68

(a) D3 D6/ –

2

1.67%

(b) –/ –

Nutrition

8

001

X2 = 413.10, df (48), p < .001, (α = .006)

-1.04 (3.05)

-0.53 (0.71)

NA

2 (C1 C5)

0

0.49

(a) –/ C6

0

4.92%

(b) C3/ –

Residence

5

001

X2 = 189.26, df (5), p < .001, (α = .01)

-3.18 (2.9)

-0.59 (0.50)

NA

0

0

-0.31

(a) –/ –

0

–h

(b) –/ F3

Safety

6

001

X2 = 109.40, df (23), p < .001, (α = .008)

-0.44 (2.62)

-0.25 (0.48)

NA

0

0

-0.46

(a) E2/ –

0

0.00%

(b) –/ –

Stage 3. PC-PART items separated into ‘Self Care’ and ‘Domestic Life’ scales

        

(a) All self care items

23

001

X2 = 987.96, df (184), p < .001, (α = .002)

-0.64 (2.33)

-0.51 (0.77)

NA

3 (C1 C2 B2)

2

0.87

(a) B2/ –

11

14.61%

(b) B6/ –

(95% CI 13.2%-16.0%)

All domestic life items

18

001

X2 = 1058.02, df (162), p < .001, (α = .002)

-0.77 (2.48)

-0.50 (0.81)

NA

2 (D6 E6)

0

0.79

(a) E2/ –

7

8.56%

(b) A5 C4/ –

(95% CI 7.2%-9.9%)

(b) Refined Self Care scale

16

001

X2 = 360.64, df (91), p < .001, (α = .003)

-0.86 (1.87)

-0.46 (0.62)

NA

0

0

0.85

(a) –/ –

0

4.18%

(b) –/ –

Refined domestic life scale

14

001

X2 = 515.48, df (91), p < .001, (α = .004)

-0.57 (2.02)

-0.45 (0.63)

NA

0

0

0.76

(a) E2/ –

0

6.16%

(b) A5 C4/ –

(95% CI 4.8-7.5%)

  1. SD = Standard Deviation, PSI = Person Separation Index, DIF = Differential Item Functioning, X2 = chi square, df = degrees of freedom, p = probability value, α = Bonferroni adjusted alpha level, CI = Confidence Interval.
  2. anon significant chi-square item-trait interaction statistic is evidence of overall model fit.
  3. bItem-Person Fit Residual SD ≤1.5 is evidence of overall item/person fit.
  4. cIndividual item or person Fit Residual values of ≤2.5 are evidence of item/person fit.
  5. dPSI values ≥0.7 acceptable for use with grouped data, values ≥0.8 acceptable for use with individual data.
  6. eItem pairs with Residual correlation values of r ≥0.2 deemed to have local item dependency.
  7. fValues ≤5% considered evidence of a unidimensional scale (95% CI only presented when the proportion of significant t-tests exceeded 5%).
  8. gNot Applicable - only one threshold for items with two response categories.
  9. hInsufficient items and response categories to produce minimum scores for meaningful results.