Three facets with judge pairs: Language test

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In this Foreign Language reading test, examinees read two text passages. The first passage (chosen at random from many available passages) is heard by a judge. The examinee than moves to an intermediate waiting room. Then the examinee is heard by a different judge on a different, randomly selected, passage. Examinees are assigned to the next available judge at each stage. Rating is on a holistic 1-5 category scale.

 

Facets specifications and data (in file Pair.txt):

 

Title = Paired-judge Reading Test  ; the report heading line

Facets = 4   ; examinees, texts, raters, time-point

Converge = .5, .1  ; converged when biggest score residual is .5 and biggest change is .1 logits

Positive = 1, 3  ; examinees are able, raters are lenient

Noncenter = 1   ; examinee measures relative to texts, raters, etc.

Umean = 50, 5   ; user-friendly logit-rescaled measures: logit = 50 + 5 * logit

Arrange = F,m   ; tables output in Fit-ascending (F) and Measure-descending (m) order

Usort = U   ; sort residuals by unexpectedness

Vertical = 1A, 3A, 2A ; Display examinees, raters, texts by name

Model =

?,?,?,?,reading  ; basic model: raters share the 5-point rating scale

?,?B,?,?B,reading  ; text x time-point interactions: does practice help?

*

Rating scale = reading,R9,K ; 5 category scale, K=keep intermediate unobserved categories

1 = incoherent  ; sounding out the words, or worse

5 = fluent   ; as a native speaker

*

Labels=

1, Examinees

12, Stan

14, Amanda

23, Victor

30, Leslie

41, Don

52, Chin

62, Anne

73, David

82, Jacinta

90, Kallen

99, Ethne

*

2, Passages

1, Buchan

2, Sapper

3, Fleming

4, Doyle

5, Montagu

6, Blyton

*

3, Judges

1, Glass

2, Draper

3, Karnes

4, Borich

5, Chase

6, Gredler

*

4, Order, A  ; these are anchored at umean=50 because for interactions only

1, First, 50

2, Second, 50

*

data=

12,1,1,1, 2 ; Stan reads Buchan to Glass first, and is rated 2

12,3,5,2, 3 ; Stan reads Fleming to Chase second, and is rated 3

14,6,4,1, 1

14,4,6,2, 2

23,1,4,1, 1

23,3,2,2, 3

30,1,5,1, 1

30,5,4,2, 2

41,3,5,1, 4

41,6,4,2, 3

52,4,6,1, 1

52,5,2,2, 3

62,4,3,1, 1

62,5,2,2, 3

73,4,3,1, 4

73,6,2,2, 3

82,1,6,1, 2

82,5,1,2, 5

90,3,1,1, 2

90,2,4,2, 4

99,6,3,1, 3

99,2,1,2, 5

 

In Table 7, the "Fair Average" reports a standard rating for a standard context:

 

Here, Kallen has a higher observed average score of 3.0, but lower "Fair Average" score of 2.14 because he read out easier passages to more lenient judges.


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