## Chapter 7: Pendulum Interview

You will need to read the text of the book to understand these examples. Official authors' website: Bond & Fox
Winsteps numerical results may differ somewhat from those in Bond & Fox due to differences in estimation procedures.

B&F Pendulum Interview data p. 97

The entire dataset is obtained from www.facebook.com/ApplyingTheRaschModelBondFox.

The original data set contains 18 items and 58 children.

Highlight with your mouse from here >

```Title = "B&F PCM Analysis of Piagetian Interview Data: 18 items"
Item1 = 3        ; Response to first item is in column 5
NI    = 18       ; 18 items used.
Name1 = 1        ; Person identifier starts in column 1
Xwide = 1        ; Each observation is 1 columns wide
Codes = 0123     ; valid codes 0-3.
clfile=*         ; label the rating scale categories
0 Not            ; deduced from Table 7.2
1 Action
2 Logic
3 Correct
*
Groups= 0        ; each item is in its own group ("Partial Credit" model)
Total = Yes      ; show total raw scores
Chart = Yes      ; produce across-pathway picture
Mnsq  = No       ; use Standardized fit statistics
Uimean= 0        ; Item mean difficulty at 0.
Stbias= Yes      ; Adjust for estimation bias
&End
1  Order lengths ; deduced from Table 7.2
2  Order weights
3  Order push
4  Length-freq
5  Vary factors
6  Infer
7  Tests lengths
8  Tests weights
9  Tests push
10 Length role
11 Weight role
12 Push role
13 Length combine
14 Weight combine
15 Push combine
16 Systematic
17 Exclude weight
18 Exclude push
END NAMES
02111112221110122000
03100111222200233000
04111111222222132000
05111111121011232000
06111111121220110000
07111112222200110000
08111111222220132010
09111112222111233100
10111111222111110000
11111111122200233000
12111112222232211110
13111112202232233110
14111112121331111110
15111112222111110100
17111112120111110100
18111112122333110111
19111112102232000010
20111112122111233000
21111111000111000000
22111101120110110000
25111111122100132000
27111112122111110100
28111112222111210100
30111112122232110110
31111112222223110101
32111112222211110100
33111111120220100000
34111111120111132000
35111010022111210000
37111111021111233000
38111112121330233110
40111112121202132100
42111112022211110000
44100112220222210100
45111111220110110000
47111112222111233000
48111112222211233100
49111002220020110000
50111111222111130100
51111112222333231011
53111112222112132110
54111112221111113001
55111112122111233100
56111112021111232000
57111111222211231110
58111112121233211111
59111112222333210101
60111112202112110000
61111111221111132000
62111111222222233000
63111112222111132000
64111112221110110000
65111112222333232111
66111112220111110000
67111112122111232000
68111112121212232101
69111112221232132110
70111112122212230000
```

< to here. Then Copy.

Start Ministep.
Do not answer the "Control File Name?" question.
Go immediately to "Edit" pull-down menu.
Click on "Edit/Create File with WordPad"
"Paste Special" as "Unformatted Text" what you just copied above.

It should look exactly like the block above.

"Save as"
Go to the C:\WINSTEPS directory
File Name: PCM.txt
Save as type: Text document
"Save"
"You are about to save the document in a Text-Only format ..."
Click "Yes"

Click on Ministep or Winsteps on the bottom of your screen
"Control File Name?" displays.
Press the Enter key
Find PCM.txt in the file list.
Click on it.
Click "Open"

"Report output file name ..."
Press the Enter key

"Extra specifications ..."
Press the Enter key

Ministep runs.
Ministep reports "Measures constructed"

B&F Figure 7.1 paralled p. 99

You know what to do ...
Table 13.2 for the general view of the pathway
Table 2.0 for the thresholds, scroll down to Table 2.3 (50% Cumulative Probability.)

B&F Table 7.3 p. 101

Table 14 for the items in entry order for dichotomous item difficulties and item fit statistics.
Table 3.2, Rating scale structure, for the partial credit item thresholds, look at the second panel, "50% Cumulative Probility". Their standard error is approximately the error column.

```Winsteps Table 13:
+--------------------------------------------------------------------------------------+
|ENTRY   TOTAL                  MODEL|   INFIT  |  OUTFIT  |PTMEA|                     |
|NUMBER  SCORE  COUNT  MEASURE  S.E. |MNSQ  ZSTD|MNSQ  ZSTD|CORR.| ITEM              G |
|------------------------------------+----------+----------+-----+---------------------|
|     2     56     58   -2.48     .71|1.10    .4|1.16    .5|  .05| 2  Order weights  0 |

B&F Table 7.3
2                 -2.36     .73         .3         .5

B&F Table 7.3
6.1               -2.41    1.25         .0        -.2
Corresponds to Winsteps 3.2
6 1               -2.58    1.04 1.02        .94

FOR GROUPING "0" ITEM NUMBER: 6  6  Infer
+--------------------------------------------------------------------------
|CATEGORY    STRUCTURE   |  SCORE-TO-MEASURE   | 50% CUM.| COHERENCE|ESTIM|
| LABEL    MEASURE  S.E. | AT CAT. ----ZONE----|PROBABLTY| M->C C->M|DISCR|
|------------------------+---------------------+---------+----------+-----+
|   0      NONE          |( -3.67) -INF   -2.67|         |   0%   0%|     | 0 Not
|   1       -2.53   1.04 |  -1.10  -2.67    .46|   -2.58 |  50%  27%| 1.02| 1 Action
|   2         .32    .30 |(  1.46)   .46  +INF |     .38 |  72%  89%| 1.02| 2 Logic
+--------------------------------------------------------------------------

Winsteps reports mean-squares (expected values = 1.0) for categories instead of t-statistics for thresholds.
+------------------------------------------------------------------
|CATEGORY   OBSERVED|OBSVD SAMPLE|INFIT OUTFIT||STRUCTURE|CATEGORY|
|LABEL SCORE COUNT %|AVRGE EXPECT|  MNSQ  MNSQ||CALIBRATN| MEASURE|
|-------------------+------------+------------++---------+--------+
|  0   0       1   2|  -.15  -.03|   .93   .78||  NONE   |( -3.67)| 0 Not
|  1   1      18  31|   .74   .74|  1.02   .94||   -1.42 |  -1.10 | 1 Action
|  2   2      39  67|  1.47  1.47|   .98   .99||    1.42 |(  1.46)| 2 Logic
+------------------------------------------------------------------
```

B&F Figure 7.2 p. 102

Table 12. Scroll down to 12.6. This pictures the 50% Cumulative Probability Thresholds

Note: The Winsteps instructions on p. 104-105 are conceptual.

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