Winsteps Table 45 Plot: Cumulative girl measures after each episode
MEASURE EPISODE - MAP - Girl Sept 20 HARD|MORE XXXXXXXX S| Abbie Chelsie Helena 60 XXXXXXX M+ Elly Emma Kristen Mary Monique Sogand XX | Julia Nichole Nikki Vakoo X S| Brianna Cassandra Georgie Hannah Isabelle Jessica Rachael Renee T| Jessie |M Tash | 50 X + | | | | |S 40 + | | | | Danush Sam Tara | 30 +T | | | | | Keely Sophie 20 + EASY|LESS |
The girls' desirabilities are shown in the Wright Person-Item map: Winsteps Table 16.3.
Girl Sept 20 STATISTICS: MEASURE ORDER -------------------------------------------------------------------------------------- |ENTRY TOTAL TOTAL MODEL| INFIT | OUTFIT |EXACT MATCH| | |NUMBER SCORE COUNT MEASURE S.E. |MNSQ ZSTD|MNSQ ZSTD| OBS% EXP%| Girl Sept 20| |------------------------------------+----------+----------+-----------+-------------| | 1 60 19 62.5 1.1| .88 -.08| .71 -.63| 31.6 21.9| Chelsie | Eliminated: | 3 64 18 62.0 1.0| .81 -.29| .97 .08| 11.1 19.6| Helena | | 2 77 19 60.9 .9|2.36 2.56|1.41 1.06| 10.5 20.7| Abbie | | 5 74 16 60.7 .9|1.48 1.16|1.29 .74| 18.8 17.6| Elly | | 4 88 17 59.9 .8| .77 -.58| .74 -.51| 11.8 17.7| Emma | | 15 42 6 59.7 1.0|1.86 1.53|1.70 .89| 16.7 22.6| Monique | | 6 79 13 59.7 .8| .98 .08| .91 .02| 15.4 16.5| Kristen | | 8 73 11 59.5 .8| .37 -2.10| .37 -1.10| 18.2 16.5| Mary | | 7 79 12 59.4 .8|1.14 .49| .83 -.11| 16.7 16.5| Sogand | | 14 56 7 59.2 .9|1.22 .62|1.05 .38| 28.6 20.4| Vakoo | | 9 81 11 59.0 .8| .84 -.32| .67 -.36| 9.1 16.7| Nichole | | 10 68 9 58.9 .9| .65 -.84| .69 -.18| 11.1 18.1| Nikki | | 16 45 5 58.5 1.1|1.17 .47| .90 .38| 40.0 25.4| Julia | | 22 28 3 57.4 1.6|1.95 1.14|1.34 .69| 33.3 37.8| Georgie | | 20 30 3 57.4 1.5|1.04 .34| .71 .24| 33.3 37.5| Renee | | 23 29 3 57.2 1.6|1.70 .94|1.17 .58| 33.3 38.0| Hannah | | 18 32 3 56.9 1.7| .82 .16| .57 .10| 33.3 37.8| Jessica | | 13 87 8 56.6 1.1| .60 -.53| .84 .16| 25.0 25.3| Brianna | | 17 59 5 56.6 1.3| .84 .04| .77 .29| 20.0 26.7| Isabelle | | 11 106 10 56.5 1.1| .69 -.41| .57 -.32| 30.0 23.1| Rachael | | 12 101 9 56.0 1.2| .73 -.23| .63 -.14| 22.2 24.7| Cassandra | | 19 52 4 54.7 2.1| .28 -.49| .22 -.37| 50.0 32.9| Jessie | | 26 38 3 52.8 3.4| .30 -.24| .20 -.40| 33.3 42.4| Tash | | 21 23 2 33.8 33.9| .03 -.96| .03 -.96|100.0 96.2| Danush | | 24 23 2 33.8 33.9| .03 -.96| .03 -.96|100.0 96.2| Sam | | 25 23 2 33.8 33.9| .03 -.96| .03 -.96|100.0 96.2| Tara | | 27 21 2 21.9 21.1| .13 -.58| .13 -.57|100.0 88.2| Keely | | 28 21 2 21.9 21.1| .13 -.58| .13 -.57|100.0 88.2| Sophie | |------------------------------------+----------+----------+-----------+-------------| | MEAN 55.7 8.0 53.1 6.2| .85 .0| .70 -.1| 37.6 37.2| | | P.SD 25.8 5.7 11.7 10.9| .60 .9| .44 .6| 30.7 27.1| | -------------------------------------------------------------------------------------- |
The Batchelor Australia is a TV series on Australian TV, Network 10, tenplay.com.au. Series 7 started on July 31, 2019 and ended on Sept. 20, 2019.
Each girl (contestant) is a row in the data matrix. Each episode, or part of an episode, is a column (item, task) in the data matrix. In the first episode, 20 girls met batchelor Matt Agnew. 2 girls were eliminated. 1 girl, Elly, was awarded the "Golden Ticket" for a trip to Melbourne with Matt.
At the end of each episode, there is a Rose Ceremony.The girls are scored by the order in which they receive roses. The lowest ranked are eliminated from future episodes. Since the number of girls varies across episodes, the Partial Credit Model, ISGROUPS=0, is used. For details of each episode, please see Wikipedia: The Batchelor Australia (series 7).
The girls are listed by name in the Excel spreadsheet. There are two additional rows. These are used for hypothetical "Minimum" (who is less desirable than anyone) and "Maximum" (who is more desirable than anyone). These are anchored at 0 and 100 to establish a constant frame-of-reference across the Batchelor episodes.
The columns (items) are labeled with codes such as "Ep. 1". "1" indicates the episode number. In addition to a column for each episode, there are three additional columns. The first data column, "Pre", is a Bayesian item containing ratings for the contestants (all the same), Maximum and Minimum. This gives us reasonable estimates to launch the process. The last item column, "Now", is also Bayesian. This gives the current best estimate for each active girl in the anchored-frame of reference. It is similar to "Pre", but inactive contestants are omitted. This column models the fact that contestants are changing their desirability. Matt is liking some more, and others less. The very last column, "Wins", is weighted zero, so that it does not influence any of the contestant estimates. This is used to estimate the probability for each contestant based on the current difficulty of winning the competition. This difficulty is such that the sum of the probabilities for the active contestants of succeeding on this "item" is 1.0. The probabilities are reported in the XFILE= as EXPECTATION for this item. This is the Winning Probability Percent in the Table above.
After each episode, the outcomes are scored based on the Matt's assignment of roses and other actions, 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 rescale the measures into more friendly numbers.
&INST Title= "batchelor-aus-2019.xls" ; Excel file created or last modified: 9/20/2019 2:21:30 PM ; Sheet1 ; Excel Cases processed = 30 ; Excel Variables processed = 19 ITEM1 = 1 ; Starting column of item responses NI = 18 ; Number of items NAME1 = 38 ; Starting column for person label in data record NAMLEN = 10 ; Length of person label XWIDE = 2 ; Matches the widest data value observed ; extra control variables ISGROUPS = 0 ; Partial Credit model: Episodes have different rankings STKEEP=No ; when girls drop out, drop out their ratings IWEIGHT = 6W4 ; for "Win" and team events USCALE = -10 ; low score = high desirability, rescaled for 0-100 = 10 logits UDECIMALS = 1 PAFILE=* 30 0 ; anchor minimum performance at 0 29 100 ; anchor maximum performance at 100 * CONVERGE=B LCONV=.005 RCONV=.05 FREQ = HARD ; for the Wright Person-Item Map LESS = MORE MORE = LESS RARE = EASY TITLE = Batchelor Aus 2019 Sept 20 PERSON = Girl Sept 20 ITEM = EPISODE LINELENGTH = 120 PSELECT={A-Z} ; only analyze active ladies STKEEP=NO ; drop out eliminated rankings TFILE=* ; IDELETE=+1 PDELETE=29-30 MAXPAG=60 16.3 IDELETE= MAXPAG=100 17.1 * CODES = " . 0 1 101112131415161718192 3 4 5 6 7 8 9 " ; matches the data CODERANGE = 20 - 21 TOTALSCORE = Yes ; Include extreme responses in reported scores ; Person Label variables: columns in label: columns in line @Girls = 1E9 ; $C38W9 &END ; Item labels follow: columns in label Pre ; Item 1 : 1-2 Ep. 1 ; Item 2 : 3-4 Ep. 2 ; Item 3 : 5-6 Ep. 3 ; Item 4 : 7-8 Ep. 4 ; Item 5 : 9-10 Ep. 5 ; Item 6 : 11-12 Ep. 6 ; Item 7 : 13-14 Ep. 7 ; Item 8 : 15-16 Ep. 8 ; Item 9 : 17-18 Ep. 9 ; Item 10 : 19-20 Ep.10 ; Item 11 : 21-22 Ep.11 ; Item 12 : 23-24 Ep.12 ; Item 13 : 25-26 Ep. 13 ; Item 14 : 27-28 Ep.14 ; Item 15 : 29-30 Ep.15 ; Item 16 : 31-32 Ep.16 ; Item 17 : 33-34 Wins 0 ; Item 18 : 35-36 END NAMES 2 2 2 4 8 2 1 2 6 9 2 5 2 3 1 2 1 1 Chelsie 2 9 205 1 1 5 3 103 1 3 5 2 2 1 0 Abbie 2 106 7 5 3 3 2 3 5 7 1 1 1 3 3 Helena 2 1113103 8 2 1 8 4 5 2 3 4 4 Emma 2 1 8 1 156 9 2 1 1 3 6 4 5 Elly 2 8 156 114 132 2 2 4 4 6 Kristen 2 3 1 15127 124 4 6 6 7 Sogand 2 7 11126 5 4 4 7 7 8 Mary 2 129 2 7 146 4 9 8 8 Nichole 2 . 7 114 13115 5 10 Nikki 2 18141413118 4 1111 Rachael 2 1718179 12104 12 Cassandra 2 16161614107 6 Brianna 2 4 3 8 169 14 Vakoo 2 . 5 3 2 1515 Monique 2 . 4 131016 Julia 2 14179 17 Isabelle 2 . 1218 Jessica 2 131918 Jessie 2 . 1018 Renee 2 . 21 Danush 2 5 21 Georgie 2 6 21 Hannah 2 . 21 Sam 2 . 21 Tara 2 1521 Tash 2 19 Keely 2 19 Sophie 1 . Best 3 . Worst |
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