Measuring the Cooks with Rasch: Masterchef Australia, 2020, (Series 12)

Masterchef 2020 Cook Cumulative Measures
Winsteps Winsteps Table 45 Plot: Cumulative person measures after each cooking task

 


               |BEST
   60          +
               |
               |  1 Emelia Jackson
               |
   58          +
               |S 17 Amina Elshafei     2 Laura Sharrad       6 Poh Ling Yeow
               |  12 Jess Liemantara
               |
   56          +  3 Reynold Poernomo    4 Callum Hann         8 Brendan Pang
               |  5 Reece Hignell
               |
               |
   54          +  15 Hayden Quinn       7 Tessa Boersma       9 Khanh Ong
               |  10 Sarah Tiong        13 Tracy Collins
               |  11 Simon Toohey
               |
   52          +M
               |
               |
               |  14 Sarah Clare
   50          +
               |  20 Dani Venn (IP)
               |
               |  16 Ben Ungermann
   48          +
               |  18 Chris Badenoch     22 Ben Milbourne
               |S
               |
   46          +  24 Lynton Tapp
               |  19 Rose Adam
               |
               |
   44          +  21 Harry Foster
               |
               |
               |
   42          +T
               |
               |
               |
   40          +
               |
               |
               |  23 Courtney Roulston
   38          +
               |WORST

The cooks' abilities are shown in the Wright Person-Item map: Winsteps Table 16.3.


COOK July 20 STATISTICS:  MEASURE ORDER
----------------------------------------------------------------------------------------------
|ENTRY   TOTAL  TOTAL           MODEL|   INFIT  |  OUTFIT  |EXACT MATCH|                     |
|NUMBER  SCORE  COUNT  MEASURE  S.E. |MNSQ  ZSTD|MNSQ  ZSTD| OBS%  EXP%| COOK July 20        |
|------------------------------------+----------+----------+-----------+---------------------|
|     1    714    351    59.0      .5|1.25  2.85|1.13  2.34| 31.6  33.4| 1 Emelia Jackson    |<- best
|     2    950    431    57.6      .4| .67 -5.46| .69 -7.84| 40.8  32.6| 2 Laura Sharrad     |<- most consistent
|     6    799    335    57.6      .4| .86 -1.90|1.02   .46| 23.9  29.9| 6 Poh Ling Yeow     |
|    17    116     49    57.5     1.1|1.69  2.47|1.34  1.70| 36.7  42.9| 17 Amina Elshafei   |
|    12    274    107    57.2      .7|1.57  3.58|1.25  2.25| 40.2  35.4| 12 Jess Liemantara  |
|     3    868    345    56.1      .4| .69 -5.08| .85 -3.20| 23.2  29.7| 3 Reynold Poernomo  |
|     4    902    348    56.0      .4| .96  -.50| .84 -3.57| 36.8  32.0| 4 Callum Hann       |
|     8    601    211    55.8      .5|1.26  2.81|1.23  3.08| 22.3  26.8| 8 Brendan Pang      |
|     5    801    296    55.6      .4|1.11  1.37|1.02   .46| 35.5  29.5| 5 Reece Hignell     |
|     9    607    181    54.2      .5|1.08   .75|1.19  2.23| 20.4  26.4| 9 Khanh Ong         |
|     7    741    242    54.2      .5|1.03   .39|1.05   .69| 26.9  29.2| 7 Tessa Boersma     |
|    15    162     58    53.9     1.1|1.41  1.53|1.09   .55| 22.4  39.7| 15 Hayden Quinn     |
|    13    240     80    53.7      .9|1.20  1.01|1.00   .02| 30.0  39.1| 13 Tracy Collins    |
|    10    494    152    53.6      .6| .97  -.19| .93  -.74| 31.6  31.5| 10 Sarah Tiong      |
|    11    483    145    52.9      .6|1.26  1.74|1.14  1.36| 37.2  33.2| 11 Simon Toohey     |
|    14    198     63    50.4     1.2| .87  -.51| .71 -1.67| 65.1  39.9| 14 Sarah Clare      |
|    20     59     19    49.4     2.5|2.76  3.03|1.83  1.65| 42.1  39.8| 20 Dani Venn (IP)   |
|    16    203     63    48.6     1.4|1.12   .53|1.28  1.28| 42.9  45.1| 16 Ben Ungermann    |
|    22     36     10    47.6     3.6|2.16  1.59|1.39   .71| 60.0  45.1| 22 Ben Milbourne    |
|    18    129     34    47.3     2.0|1.09   .38| .85  -.29| 47.1  44.9| 18 Chris Badenoch   |
|    24     19      6    46.0     5.1|3.02  1.97|2.30  1.24| 33.3  43.7| 24 Lynton Tapp      |<- most inconsistent
|    19     96     33    45.7     2.4| .89  -.25| .73  -.94| 60.6  46.8| 19 Rose Adam        |
|    21     65     19    44.1     2.8|1.12   .44|1.19   .56| 10.5  42.1| 21 Harry Foster     |
|    23     37     10    38.6     4.7| .97   .15|1.14   .43| 80.0  70.1| 23 Courtney Roulston|<- worst
----------------------------------------------------------------------------------------------

Masterchef Australia is a TV series on Australian TV, Network 10, tenplay.com.au. Series 12 started on April 13, 2020 and ended on July 20, 2020. An analysis of Masterchef Australia 2019 is here.

Each cook is a row in the data matrix. Each episode, or part of an episode, is a column (item, task) in the data matrix. 24 contestants, returning from previous Masterchef Seasons, competed.

In most episodes, the winner or winning group of cooks are scored "1", the losers are scored "3", and the middle group are scored "2". The judges often make finer gradations in their comments on the dishes, and these are shown by additional scored levels. The first episode was won by Dani Venn who was awarded the only Immunity Pin of the competition. Since the scoring varies across episodes, the Partial Credit Model, ISGROUPS=0, is used. For details of each episode, please see Wikipedia: MasterChef Australia (series 12).

The columns (items) are labeled with codes such as "2-IT". "2" indicates the week number. "IT" indicates the type of competition. They are Pre = Prior, AU=Auditions, IT=Invention Test (Free Cook), MB=Mystery Box, PT=Pressure Test, elimination based on individual performance, IT=Invention Test, cooking for oneself, IQ=Immunity Qualifier, IC=Immunity Challenge, TC=Team Challenge, TE=Elimination based on Team performance, 2C=Second Chance, Now = best estimate of current ability, Wins=Probability of winning. "i" indicates the cook used an Immunity pin to bypass a Pressure Test. "-" indicates the cook is given a Bye for this event.

At the end of "Pressure Test" episodes, the losing cook is eliminated from the competition. In "Team Challenge" episodes, the contestants are divided into two or more teams with winning and losing teams. In team events (TC, 5-IT), the event may be weighted inversely by the number of members of each team. In "Immunity" episodes, the winning cook gets immunity from the next Pressure Test.

The cooks are listed by name. The number immediately preceding each name is their order of elimination, counting backwards. The first cook eliminated is numbered 24. The overall winner will be numbered 1. In addition to a row for each of the 24 contestants and one for the Guest Chefs, there are two additional rows. These are used for hypothetical "Minimum" (who is worse than anyone) and "Maximum" (who is better than anyone) chefs. These are anchored at 0 and 100 to establish a constant frame-of-reference across the Masterchef episodes.

There is a column for each cooking task. These are upweighted by cooking week. There are also four additional columns.
Season: this is the Season in which the contestant first participated. Since the earlier the Season, the more opportunities to increase skill.
Place: this is the finishing place of the contestant in the prior Season.
Start: this is used to start all contestants at the same level.
Now: this is used to obtain the current measure of all active contestants.

After each episode, the cooks' performances are scored based on the judges opinions and entered into an Excel spreadsheet, available here. This 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 reverse and rescale the measures, because lower score indicates higher ability.


&INST
Title= "Masterchef-2020.xls"
; Excel file created or last modified: 7/20/2020 9:24:04 PM
; Sheet1
;     Excel Cases processed = 27
; Excel Variables processed = 94
ITEM1 = 1 ; Starting column of item responses
NI = 87 ; Number of items
NAME1 = 176 ; Starting column for person label in data record
NAMLEN = 21 ; Length of person label
XWIDE = 2 ; Matches the widest data value observed

; extra control variables
ISGROUPS = 0 ; Partial Credit model: in case items have different rating scales
STKEEP = Yes ; keep unobserved categories
IWEIGHT = 1W2 ; weighted by week
USCALE = -10 ; low score = high ability, rescaled for 0-100 = 10 logits
UDECIMALS = 1
PAFILE=*
; 25 75   ; ANCHOR GUEST CHEF AT 75
26 0    ; anchor minimum performance at 100
27 100  ; anchor maximum performance at 0
*
; IDELETE=2-48 ; everything before the second chance
; PDELETE = 27 ; DELETE maximum
CONVERGE=B
LCONV=.001
RCONV=.1
FREQ = ; HARD ; for the Wright Person-Item Map
LESS = BEST
MORE = WORST
RARE = ; EASY
TITLE = Masterchef 2020 July 20
PERSON = COOK Jul20
ITEM = TASK
LINELENGTH = 120
TFILE=*
mtop=60
mbottom=38
mtick=2
munits=0.5


; PSELECT={A-Z}
IDELETE=+999 ; SHOW NO ITEM
PDELETE=25-27
MAXPAG=40
16.3
IDELETE=
MAXPAG=0
17.1
PSELECT={A-Z}   ; FOR THE TABLE 45 PLOT
*

CODES = "  . 1 102 3 4 5 6 7 8 9 A " ; matches the data
TOTALSCORE = Yes ; Include extreme responses in reported scores
; Person Label variables: columns in label: columns in line
@Contestant = 1E20 ; $C176W20
&END ; Item labels follow: columns in label
Start ; Item 1 : 1-2
1-IT ; Item 2 : 3-4
1-TC ; Item 3 : 5-6
1-TC ; Item 4 : 7-8
1-IT ; Item 5 : 9-10
1-PT ; Item 6 : 11-12
2-TC ; Item 7 : 13-14
2-PT1 ; Item 8 : 15-16
2-PT2 ; Item 9 : 17-18
2-MB ; Item 10 : 19-20
2-IC1 ; Item 11 : 21-22
2-IC2 ; Item 12 : 23-24
2-PT1 ; Item 13 : 25-26
3-TC1 ; Item 14 : 27-28
3-TC2 ; Item 15 : 29-30
3-TC3 ; Item 16 : 31-32
3-PT2 ; Item 17 : 33-34
3-MB ; Item 18 : 35-36
3-IC ; Item 19 : 37-38
3-PT1 ; Item 20 : 39-40
3-PT2 ; Item 21 : 41-42
4-TC ; Item 22 : 43-44
4-PT1 ; Item 23 : 45-46
4-PT2 ; Item 24 : 47-48
4-PT3 ; Item 25 : 49-50
4-MB ; Item 26 : 51-52
4-IC ; Item 27 : 53-54
4-PT1 ; Item 28 : 55-56
4-PT2 ; Item 29 : 57-58
5-TC ; Item 30 : 59-60
5-PT ; Item 31 : 61-62
5-MB ; Item 32 : 63-64
5-IC ; Item 33 : 65-66
5-PT1 ; Item 34 : 67-68
5-PT2 ; Item 35 : 69-70
6-TC ; Item 36 : 71-72
6-PT ; Item 37 : 73-74
6-MB ; Item 38 : 75-76
6-IC1 ; Item 39 : 77-78
6-IC2 ; Item 40 : 79-80
6-PT1 ; Item 41 : 81-82
6-PT2 ; Item 42 : 83-84
7-TC ; Item 43 : 85-86
7-PT ; Item 44 : 87-88
7-MB ; Item 45 : 89-90
7-IC ; Item 46 : 91-92
7-EC1 ; Item 47 : 93-94
7-EC2 ; Item 48 : 95-96
8-I11 ; Item 49 : 97-98
8-I12 ; Item 50 : 99-100
8-I2 ; Item 51 : 101-102
8-I3 ; Item 52 : 103-104
8-I4 ; Item 53 : 105-106
8-E1 ; Item 54 : 107-108
8-E2 ; Item 55 : 109-110
9-TC ; Item 56 : 111-112
9-PT ; Item 57 : 113-114
9-MB ; Item 58 : 115-116
9-I1 ; Item 59 : 117-118
9-I2 ; Item 60 : 119-120
9-I3 ; Item 61 : 121-122
9-E1 ; Item 62 : 123-124
9-E2 ; Item 63 : 125-126
10-MB ; Item 64 : 127-128
10-IC ; Item 65 : 129-130
10-E1 ; Item 66 : 131-132
10-E2 ; Item 67 : 133-134
11-M1 ; Item 68 : 135-136
11-M2 ; Item 69 : 137-138
11-IC ; Item 70 : 139-140
11-E1 ; Item 71 : 141-142
11-E2 ; Item 72 : 143-144
12-MB ; Item 73 : 145-146
12-I1 ; Item 74 : 147-148
12-I2 ; Item 75 : 149-150
12-I1 ; Item 76 : 151-152
12-I2 ; Item 77 : 153-154
13-MB ; Item 78 : 155-156
13-IC ; Item 79 : 157-158
13-PT ; Item 80 : 159-160
14-MB ; Item 81 : 161-162
14-PT1 ; Item 82 : 163-164
14-PT2 ; Item 83 : 165-166
14-SF ; Item 84 : 167-168
14-F1 ; Item 85 : 169-170
14-F2 ; Item 86 : 171-172
14-F3 ; Item 87 : 173-174
END NAMES
2 3 2     2 2     3     6         3   2   2 2     2 2 1   1   6   1   1   6     6 3 1 1 .   .       2     2   2   1 1 1 2 3 1 5   2 2 3 2   1   5     1   2 . 1 1 . . 1 2 1 1  1 Emelia Jackson
2 3 2     1 3 3   1 3 2 5     3 1 1 2 2   2 2     5   1   2 2 3   2 2 2 1 8     4 1 3   7   4         2   3   1   2 2 3   3 2 5   1   2 1 1 .   2 1 2 2   1 2 2 3 2 1 2 1 2 2  2 Laura Sharrad
2 2 2     2 1     1 3 3 1 2       3   1   1       8   1   2 2 1 4 1   1   8     2   3   4 1 .   1 2       5 1 3   5       4 1 5   4 3 4 2   3 2 3 2 1     1 1 . 2 1 . 3        3 Reynold Poernomo
2 4 1 1 1 . 2     3     5         1 3 3 2 1       10  1   2 3 2   2 2 1   7     1   2   6   7 2 2 1     1 .   2   7       2   2 2 1   1 1 3 1   4     5 1 1 3 3 4 2 2          4 Callum Hann
2 8 2     2 3 6 1 4     6         2   2   2 3 1   10  1   1   1 3 1   1   4 2   5 2 3   6   1       4     4   4 1 1 1 2 1 .   2 1 .   4 2   2   6     3 1 3   4                5 Reece Hignell
2 7 1 2   2 2     3     3   2 3 1 2   2   2 4   1 6   1   2 4 1 1 .   1   1 1 2 2   2   2 4 5 2       1 5 1   4 3 3 3     2   4   1   1 1 2 4 1 1 3 3 4 2                      6 Poh Ling Yeow
2 5 1 2   2 3 1   4     2 1       5   2   2 1     10  2 2 1   2   2 1 2 1 9     1   3   7   2       3     5 2 3   4       1   3 4 5 1 5 2   3 3                                7 Tessa Boersma
2 6 2     1 3 3   2     2         4   3 1 1       6   1   1   5   2 1 2 1 5     1   1 2 3 5 9 1 3         1   5 2 6       1   1 3 3 4                                          8 Brendan Pang
2 8 1 2   2 3 4   1 1 4 5     1   5   3 1 1       10  1   1   5   1   2 2 7     7 1 1 3 5 2 2       1   9 4   1   6       4 3                                                  9 Khanh Ong
2 6 1 3   2 1     1 2 1 .     4 1 1 4 1   1       9   1   1   1 2 2 2 2 4 7     1   2   7   3         4   6 3 5 4                                                              10 Sarah Tiong
2 8 1 4   1 1     3     5   1     3   1   2 2     9   1   1   1 5 1   2 3 3 2   1   1 4 8   8 3       3   6 4                                                                  11 Simon Toohey
2 5 2     2 2     4     5         1 1 .   1       10  1   2 1 5   1   1   2 1 1 .   2   1 3 6 4                                                                                12 Jess Liemantara
2 8 2     2 2     4     6         5   1   1       3 2 2 3 2 3 4   1   1   7     3 4                                                                                            13 Tracy Collins
2 8 1 1 2 2 2     4     4         4   2   .       7   1   2 3 4   2 3 2 5                                                                                                      14 Sarah Clare
2 7 1 3   3 1     3     6     4 2 4   3 1 1       4   1   . 4 2   2 4                                                                                                          15 Hayden Quinn
2 6 1 3   2 3 5 2 1 4 2 5         5   1   2 3 2 2 10  3 1 1   6 A                                                                                                              16 Ben Ungermann
2 4 1 4   2 1     2     4     2 1 5   2   2 2     1 1 .   2 5                                                                                                                  17 Amina Elshafei
2 8 2     3 3 2   4     5         4   2   1       10  2 4                                                                                                                      18 Chris Badenoch
2 6 1 4   4 2     3     7         3   2   2 3 2 3                                                                                                                              19 Rose Adam
2 1 2     2 1     4     6         4   3 3                                                                                                                                      20 Dani Venn (IP)
2 8 2     2 1     3     5 3   5 3                                                                                                                                              21 Harry Foster
2 5 2     1 2     3     8                                                                                                                                                      22 Ben Milbourne
2 6 2     3 3 6 3                                                                                                                                                              23 Courtney Roulston
2 7 1 1 3 5                                                                                                                                                                    24 Lynton Tapp
                                                                                                                                                                               Guest Chef
1                                                                                                                                                                              Maximum at 100
3                                                                                                                                                                              Minimum at 0

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