Dancing With The Stars Australia 2020: Measuring Skill with Rasch

Measuring Skill with Rasch: Dancing With The Stars Australia, 2020, (Australian Season 17)

Dancing With The Stars Aus Couple Cumulative Measures
Winsteps Table 45 Plot: Cumulative Couple measures after each Judging


MEASURE                                                                          Couple Mar29 - MAP - Judging
                                                                                           SKILLED|SEVERE
   110                                                                10 Claud 8  Celia 9  Claud  +
                                                                                                  |
                                                                                                  |
                                                                                                  |
                                                                                                  |
   100                                                                                           T+
                                                                                                  |
                                                                                        5  Chris  |
                                                                                                  |
                                                                      10 Celia 10 Chris 6  Celia  |
                                                                                                  |
    90                                                                                  7  Celia  +
                                                                                                  |
                                                                               5  Celia 7  Chris  |
                                                                                                  |
                                                             2  Celia 6  Chris 6  Claud 7  Ed &  S|
    80                                                                                            +
       10 Ed &  3  Chloe 3  Dami  4  Claud 4  Ed &  7  Claud 8  Chris 9  Celia 9  Chris 9  Ed &   |
                                                                                                  |
                                                                               2  Chloe 3  Claud  |
                                                                                        6  Ed &   |
                                                                                                  |
    70                                                                                            +
                                                    3  Beau  3  Chris 4  Celia 4  Chris 5  Chloe  |
                                                                                        6  Chloe  |
                                                    1  Claud 4  Chloe 5  Claud 8  Claud 8  Ed &   |
                                                                                                 M|
    60                                              2  Angie 2  Claud 3  Ed &  4  Beau  5  Dami   +
                                                                               5  Ed &  7  Dami   |T Craig Re
                                                                                                  |
                                                             1  Celia 1  Chloe 1  Chris 4  Dami   |S
                                                                                                  |
                                                                      1  Travi 2  Beau  3  Celia  |
    50                                                                                  6  Dami   +M Sharna B Tristan
                                                                               2  Chris 3  Travi  |  Mandy Mo
                                                                                                  |S
                                                                               3  Angie 4  Travi S|  Courtney
                                                                                                  |
    40                                                       1  Angie 1  Dami  1  Ed &  8  Dami   +T
                                                                                                  |
                                                                               1  Beau  2  Dean   |
                                                                                                  |
                                                                                                  |
                                                                                                  |
    30                                                                2  Dami  2  Ed &  5  Travi  +
                                                                                                  |
                                                                                        1  Dean  T|
                                                                                                  |
                                                                                        2  Travi  |
    20                                                                                            +
                                                                                         UNSKILLE|LENIENT

The Couples' dancing skills for each week are shown in the left-hand column of Wright Person-Item map: Winsteps Table 1.0 with the judges' severity in the right-hand column. "x" after Couple's name flags that this was their last performance.

 --------------------- |ENTRY   TOTAL  TOTAL |NUMBER  SCORE |-------------------- |    73     30 |    86     30 |    96     30 |    45     29 |    53     38 |    93     28 |    95     28 |    63     27 |    43     26 |    65     26 |    13     25 |    69     25 |    55     34 |    56     34 |    24     24 |    27     24 |    36     24 |    39     24 |    66     24 |    75     24 |    83     24 |    85     24 |    89     24 |    99     24 |    14     23 |    26     23 |    59     31 |    22     21 |    25     21 |    33     21 |    35     21 |    44     21 |    54     28 |    34     20 |    46     20 |    76     20 |    79     20 |     6     21 |    11     19 |    16     19 |    29     19 |    32     19 |    47     19 |    49     18 |    67     18 |    37     17 |     3     18 |     4     18 |     5     18 |    12     16 |    23     16 |    10     17 |    57     22 |    15     15 |    30     15 |    21     14 |    40     14 |    77     13 |     1     14 |     7     14 |     9     14 |    18     12 |     2     13 |    17     10 |    19     10 |    50     10 |     8     12 |    20      8 |-------------------- | MEAN    20.9    3.1 | P.SD     6.3     .3 --------------------- Winsteps Table 17.1

-------------------------------------------------------------------------------------- MODEL| INFIT | OUTFIT |PTMEASUR-AL|EXACT MATCH| | COUNT MEASURE S.E. |MNSQ ZSTD|MNSQ ZSTD|CORR. EXP.| OBS% EXP%| Couple Mar29 | ----------------+----------+----------+-----------+-----------+----------------------| 3 104 6| MAXIMUM MEASURE | .00 .00|100.0 100.0| 8 Celia & Jarryd | 3 104 6| MAXIMUM MEASURE | .00 .00|100.0 100.0| 9 Claudia & Aric | 3 104 6| MAXIMUM MEASURE | .00 .00|100.0 100.0| 10 Claudia & Aric | 3 98 4| .14 -.90| .13 -.63| .99 .64|100.0 82.5| 5 Christian & Lily | 4 93 3| .57 -.51| .49 -.42| .76 .67| 75.0 72.3| 6 Celia & Jarryd | 3 93 3| .60 -.49| .60 -.51| .61 .62| 66.7 63.7| 10 Celia & Jarryd | 3 93 3| .91 .08| .98 .18| .38 .62| 66.7 63.7| 10 Christian & Lily | 3 89 3| .61 -.43| .59 -.46| .00 .62| 66.7 60.7| 7 Celia & Jarryd | 3 86 3| .02 -1.93| .02 -1.93| .99 .64|100.0 73.5| 5 Celia & Jarryd | 3 86 3|2.14 1.21|2.13 1.20| -.38 .64| 33.3 73.5| 7 Christian & Lily | 3 82 3| .52 -.56| .51 -.57| .61 .61| 66.7 60.4| 2 Celia & Jarryd | 3 82 3| .52 -.56| .51 -.57| .61 .61| 66.7 60.4| 7 Ed & Jorja | 4 82 3| .41 -.94| .39 -.97| .76 .67| 75.0 62.7| 6 Christian & Lily | 4 82 3| .41 -.94| .39 -.97| .76 .67| 75.0 62.7| 6 Claudia & Aric | 3 79 3| .69 -.24| .68 -.25| .93 .61| 66.7 60.8| 3 Chloe & Gustavo | 3 79 3|2.53 1.74|2.59 1.77| .13 .61| .0 60.8| 3 Dami & Shae | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 4 Claudia & Aric | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 4 Ed & Jorja | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 7 Claudia & Aric | 3 79 3|1.01 .26|1.04 .29| .79 .61| 66.7 60.8| 8 Christian & Lily | 3 79 3| .69 -.24| .68 -.25| .93 .61| 66.7 60.8| 9 Celia & Jarryd | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 9 Christian & Lily | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 9 Ed & Jorja | 3 79 3| .61 -.38| .60 -.40| .00 .61| 66.7 60.8| 10 Ed & Jorja | 3 75 3|2.13 1.20|2.12 1.20| -.38 .64| 33.3 73.5| 2 Chloe & Gustavo | 3 75 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 3 Claudia & Aric | 4 74 3|1.31 .62|1.32 .63| .99 .68| 50.0 69.6| 6 Ed & Jorja | 3 68 3| .69 -.24| .68 -.25| .93 .61| 66.7 60.7| 3 Beau & Megan | 3 68 3| .61 -.39| .60 -.40| .00 .61| 66.7 60.7| 3 Christian & Lily | 3 68 3| .69 -.24| .68 -.25| .93 .61| 66.7 60.7| 4 Celia & Jarryd | 3 68 3| .61 -.39| .60 -.40| .00 .61| 66.7 60.7| 4 Christian & Lily | 3 68 3| .61 -.39| .60 -.40| .00 .61| 66.7 60.7| 5 Chloe & Gustavo | 4 66 3| .90 .10| .88 .08| .00 .69| 50.0 67.1| 6 Chloe & Gustavo x| 3 65 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 4 Chloe & Gustavo | 3 65 3|7.08 3.14|7.09 3.14| -.99 .64| .0 73.5| 5 Claudia & Aric | 3 65 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 8 Claudia & Aric | 3 65 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 8 Ed & Jorja | 3 65 3| .02 -1.89| .02 -1.90| .00 .14|100.0 73.4| 1 Claudia & Aric | 3 61 3| .52 -.56| .51 -.57| .61 .61| 66.7 60.6| 2 Angie & Julian | 3 61 3| .93 .15| .94 .16| .99 .61| 66.7 60.6| 2 Claudia & Aric | 3 61 3| .52 -.56| .51 -.57| .61 .61| 66.7 60.6| 3 Ed & Jorja | 3 61 3| .52 -.56| .51 -.57| .61 .61| 66.7 60.6| 4 Beau & Megan x| 3 61 3| .86 .03| .86 .04| .38 .61| 66.7 60.6| 5 Dami & Shae | 3 58 3| .61 -.39| .60 -.40| .00 .61| 66.7 60.7| 5 Ed & Jorja | 3 58 3|3.34 2.28|3.30 2.25| .99 .61| .0 60.7| 7 Dami & Shae | 3 54 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 4 Dami & Shae | 3 54 3| .02 -1.89| .02 -1.90| .00 .14|100.0 73.4| 1 Celia & Jarryd | 3 54 3|2.96 1.66|2.95 1.65| -.96 .14| 33.3 73.4| 1 Chloe & Gustavo | 3 54 3| .02 -1.89| .02 -1.90| .00 .14|100.0 73.4| 1 Christian & Lily | 3 51 3| .86 .04| .86 .04| .38 .61| 66.7 60.6| 2 Beau & Megan | 3 51 3| .93 .15| .94 .17| .99 .61| 66.7 60.6| 3 Celia & Jarryd | 3 51 3| .52 -.56| .51 -.58| .97 .15| 66.7 60.6| 1 Travis & Violeta | 4 50 3| .72 -.23| .71 -.25| .92 .67| 75.0 62.8| 6 Dami & Shae | 3 47 3|3.34 2.28|3.30 2.25| .99 .61| .0 60.6| 2 Christian & Lily | 3 47 3| .69 -.24| .68 -.25| .93 .61| 66.7 60.6| 3 Travis & Violeta | 3 44 3|2.94 1.64|2.93 1.64| .89 .64| 33.3 73.5| 3 Angie & Julian x| 3 44 3| .02 -1.91| .02 -1.91| .99 .64|100.0 73.5| 4 Travis & Violeta | 3 40 3| .93 .15| .94 .17| .99 .62| 66.7 60.7| 8 Dami & Shae x| 3 40 3| .52 -.56| .51 -.58| .97 .15| 66.7 60.7| 1 Angie & Julian | 3 40 3| .85 .03| .85 .03| -.29 .15| 66.7 60.7| 1 Dami & Shae | 3 40 3| .85 .03| .85 .03| -.29 .15| 66.7 60.7| 1 Ed & Jorja | 3 37 3|1.01 .26|1.03 .29| .79 .61| 66.7 60.5| 2 Dean & Alex x| 3 37 3|1.02 .27|1.04 .30| -.97 .15| 66.7 60.5| 1 Beau & Megan | 3 30 3| .93 .15| .94 .17| .99 .62| 66.7 60.8| 2 Dami & Shae | 3 30 3| .93 .15| .94 .17| .99 .62| 66.7 60.8| 2 Ed & Jorja | 3 30 3| .93 .15| .94 .17| .99 .62| 66.7 60.8| 5 Travis & Violeta x| 4 25 3|2.61 1.86|2.60 1.85| .91 .61| 25.0 65.6| 1 Dean & Alex | 3 23 3| .02 -1.92| .02 -1.92| .99 .64|100.0 73.5| 2 Travis & Violeta | ----------------+----------+----------+-----------+-----------+----------------------| 65 3| .94 -.2| .94 -.2| | 66.0 64.8| | 20 1|1.10 1.1|1.11 1.1| | 24.2 5.9| | --------------------------------------------------------------------------------------

The Dancing With The Stars Australia is a TV series on Australian TV, Network 10, tenplay.com.au. Season 17 started on Febrary 9, 2020 and ended on March 29, 2020. For details of each week, please see Wikipedia: Dancing with the Stars (Australian season 17).

The Couples are listed by name in the Excel spreadsheet available here. Each Couple's ("person") performance each week is a row in the data matrix. "1" indicates the week number. The columns (items) are labeled with the judges names such as "Craig Revel Horwood", and the "Safe" decision. Each judge's ratings are a column (item, task) in the data matrix. The judge's ratings of 1 to 10 are all modeled on the same rating scale. In the first week, 10 Couples were rated by 3 judges. The 4th judge also rated one couple's Week 1 performance.

At the end of each show after the first week, there is an elimination. A separate 0-3 item, called "Safe", decides the elimination between the two lowest Couples according to the competition rules.

This spreadsheet is then converted into the Winsteps control and data file shown below and here by means of the Winsteps Excel/RSSST menu. USCALE=10 and other control instructions have been added to rescale the measures into more friendly numbers.

The Couple measures are output from Winsteps each week using PFILE= to Excel. The column of measures is added to the Excel file here. Its plot is shown above.
&INST Title= "DWTS2020-columns.xlsx" ; Excel file created or last modified: 3/29/2020 9:54:17 PM ; Sheet1 ; Excel Cases processed = 100 ; Excel Variables processed = 12 ITEM1 = 1 ; Starting column of item responses NI = 5 ; Number of items NAME1 = 12 ; Starting column for person label in data record NAMLEN = 22 ; Length of person label XWIDE = 2 ; Matches the widest data value observed sfunction=2 isrange=* 1 1 10 * umean=50 uscale=3 udecim=0 TITLE = Dancing With The Stars Aus 2020 Mar29 RARE=SEVERE FREQ=LENIENT MORE=SKILLED LESS=UNSKILLED PERSON = Couple Mar29 ITEM = Judging LINELENGTH = 120 TFILE=* MAXPAG=60 1.0 MAXPAG=100 17.1 * CODES = " . 1 102 3 4 5 6 7 8 9 " ; matches the data TOTALSCORE = Yes ; Include extreme responses in reported scores ; Person Label variables: columns in label: columns in line @Week = 1E2 ; $C12W2 @Couple = 4E19 ; $C15W16 @Eliminated = 21E21 ; $C32W1 &END ; Item labels follow: columns in label Craig Revel Horwood ; Item 1 : 1-2 Sharna Burgess ; Item 2 : 3-4 Tristan MacManus ; Item 3 : 5-6 Courtney Love ; Item 4 : 7-8 Mandy Moore ; Item 5 : 9-10 END NAMES . 5 4 5 1 Angie & Julian . 4 5 4 1 Beau & Megan . 6 6 6 1 Celia & Jarryd . 6 7 5 1 Chloe & Gustavo . 6 6 6 1 Christian & Lily . 7 7 7 1 Claudia & Aric . 4 5 5 1 Dami & Shae 1 3 4 4 1 Dean & Alex . 4 5 5 1 Ed & Jorja . 6 5 6 1 Travis & Violeta 6 7 6 2 Angie & Julian 5 5 6 2 Beau & Megan 8 9 8 2 Celia & Jarryd 8 8 7 2 Chloe & Gustavo 3 6 6 2 Christian & Lily 5 7 7 2 Claudia & Aric 2 4 4 2 Dami & Shae 3 4 5 2 Dean & Alex x 2 4 4 2 Ed & Jorja 2 3 3 2 Travis & Violeta 3 5 6 3 Angie & Julian x 6 8 7 3 Beau & Megan 4 6 6 3 Celia & Jarryd 7 9 8 3 Chloe & Gustavo 7 7 7 3 Christian & Lily 7 8 8 3 Claudia & Aric 8 9 7 3 Dami & Shae 3 Dean & Alex x 6 7 6 3 Ed & Jorja 4 6 5 3 Travis & Violeta 4 Angie & Julian x 6 7 6 4 Beau & Megan x 6 8 7 4 Celia & Jarryd 6 7 7 4 Chloe & Gustavo 7 7 7 4 Christian & Lily 8 8 8 4 Claudia & Aric 5 6 6 4 Dami & Shae 4 Dean & Alex x 8 8 8 4 Ed & Jorja 4 5 5 4 Travis & Violeta 5 Angie & Julian x 5 Beau & Megan x 8 9 9 5 Celia & Jarryd 7 7 7 5 Chloe & Gustavo 9 1010 5 Christian & Lily 8 6 6 5 Claudia & Aric 6 6 7 5 Dami & Shae 5 Dean & Alex x 6 6 6 5 Ed & Jorja 2 4 4 5 Travis & Violeta x 6 Angie & Julian x 6 Beau & Megan x 9 109 10 6 Celia & Jarryd 7 7 7 7 6 Chloe & Gustavo x 8 9 8 9 6 Christian & Lily 8 9 8 9 6 Claudia & Aric 4 6 6 6 6 Dami & Shae 6 Dean & Alex x 6 8 8 9 6 Ed & Jorja 6 Travis & Violeta x 7 Angie & Julian x 7 Beau & Megan x 9 9 9 7 Celia & Jarryd 7 Chloe & Gustavo x 9 9 8 7 Christian & Lily 8 8 8 7 Claudia & Aric 4 7 7 7 Dami & Shae 7 Dean & Alex x 8 9 8 7 Ed & Jorja 7 Travis & Violeta x 8 Angie & Julian x 8 Beau & Megan x 101010 8 Celia & Jarryd 8 Chloe & Gustavo x 7 8 9 8 Christian & Lily 6 7 7 8 Claudia & Aric 3 5 5 8 Dami & Shae x 8 Dean & Alex x 6 7 7 8 Ed & Jorja 8 Travis & Violeta x 9 Angie & Julian x 9 Beau & Megan x 7 9 8 9 Celia & Jarryd 9 Chloe & Gustavo x 8 8 8 9 Christian & Lily 101010 9 Claudia & Aric 9 Dami & Shae x 9 Dean & Alex x 8 8 8 9 Ed & Jorja 9 Travis & Violeta x 10 Angie & Julian x 10 Beau & Megan x 9 109 10 Celia & Jarryd 10 Chloe & Gustavo x 9 9 10 10 Christian & Lily 101010 10 Claudia & Aric 10 Dami & Shae x 10 Dean & Alex x 8 8 8 10 Ed & Jorja 10 Travis & Violeta x

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Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale

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Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Rasch Models for Measurement, David Andrich Constructing Measures, Mark Wilson Best Test Design - free, Wright & Stone
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Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias Diseño de Mejores Pruebas - free, Spanish Best Test Design A Course in Rasch Measurement Theory, Andrich, Marais Rasch Models in Health, Christensen, Kreiner, Mesba Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen

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Rasch Books and Publications
Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang	Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene	Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver	Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone	Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes	Statistical Analyses for Language Testers (Facets), Rita Green	Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind	Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M	Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
Exploring Rating Scale Functioning for Survey Research (R, Facets), Stefanie Wind	Rasch Measurement: Applications, Khine	Winsteps Tutorials - free Facets Tutorials - free	Many-Facet Rasch Measurement (Facets) - free, J.M. Linacre	Fairness, Justice and Language Assessment (Winsteps, Facets), McNamara, Knoch, Fan
Other Rasch-Related Resources: Rasch Measurement YouTube Channel
Rasch Measurement Transactions & Rasch Measurement research papers - free	An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse	Rasch Measurement Theory Analysis in R, Wind, Hua	Applying the Rasch Model in Social Sciences Using R, Lamprianou	El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar	Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch	Rasch Models for Measurement, David Andrich	Constructing Measures, Mark Wilson	Best Test Design - free, Wright & Stone Rating Scale Analysis - free, Wright & Masters
Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias	Diseño de Mejores Pruebas - free, Spanish Best Test Design	A Course in Rasch Measurement Theory, Andrich, Marais	Rasch Models in Health, Christensen, Kreiner, Mesba	Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
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Measuring Skill with Rasch: Dancing With The Stars Australia, 2020, (Australian Season 17)

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