Four-facet rating scale with missing data: Diving

Top Up Down  A A

At the 1988 Illinois Boys Diving Competition, 12 divers performed 3 dives which were rated by 7 judges. The divers chose which types of dive to perform, so each diver did not perform most types of dive. Not all ratings were recorded. Thus, most of the complete data is "missing"! The original ratings were in the range 0 to 10 with half point increments, so all ratings have been doubled to make them integers. Previous analyses have been performed so that good starting logit values are known. One diver did the wrong dive by mistake - this is deliberately treated as missing data in this analysis. Include clearly aberrant data, e.g., lucky guesses, if your purpose is to describe the past, e.g., for awarding a prize. Omit such data if your purpose is to predict the future, e.g., to discover examinee's ability to perform surgery or to obtain item difficulty calibrations for an item bank.

 

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

 

Title = 1988 Illinois Boys Diving Competition (Anne Wendt)

Facets = 4 ; four facets are diver, dives, round, judges

Inter-rater = 4 ; facet 4 is the rater facet

Noncenter = 1 ; diver measures float

Positive = 1 ; only for divers does greater score mean greater measure

Models = ; these models will be scanned in order until a match is found for each datum:

7,8,?,?,M ; make diver 7 on dive 8 missing data - He did the wrong dive!

?,?,X,?,DoublePoints ; Round excluded for this analysis by X

*

Rating scale = DoublePoints,R20,Keep ; Keep unobserved intermediate categories

0  = 0.0

10 = 5.0 ; 5 on the original scoring

20 = 10.0

*

Labels=

1,Diver

;  diver          previous scores included in name for reference

1=Marty Turek    292.85 425.65        , 2.08 ; logit starting value of 2.08 after second ","

|  ; 10 other divers

12=Bryan Hanania   251.15              ,-1.19

*

2,Dives

; Each dives official weighted difficulty, e.g., 1.4, used as dive "name" after "="

1=1.4, -0.60 ;starting logit values after ","

| ; 6 other dives

8=2.6,  0.99

9=2.4? ; unclear what dive this was

*

3,Round

1-3 ; there were 3 rounds

*

4,Judges

1-7 ; there were 7 judges

*

Data =

1,8,1,1,14 ; Diver 1, Marty, made a dive 8, a "2.6" dive, in round 1 rated by judge 1 with 7*2=14

1,8,1,2-4,11,12,12 ; judges 2, 3, 4 rated 11, 12, 12

1,1,2,1-7,16,13,13,16,14,13,14

2,8,2,1-7,12,12,10,11,10,11,13

3,1,1,1-4,10,11,10,11

3,6,2,1-7,11,10,09,08,09,09,11

| ; 131 other ratings

12,2,3,7,11 ; Bryan made a "1.7" dive in round 3 rated by judge 7 with 5.5*2=11

 

or

dvalues = 4, 1-7 ; facet 4 is the 7 judges

Data = Dives.xls ; Excel data file format


Help for Facets Rasch Measurement Software: www.winsteps.com.