Table 1 \( \tilde{X}\times \tilde{Y} \): 4 Datasets with R 2 = 0.666 and 4 Datasets with R 2 = 1 binned into Likert variable \( \tilde{Z} \)
From: The information content of financial survey response data
| Â | Case A | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Â | Â | Case B | Case C | Case D | ||||||
Observation | Bin 1,2,3x | Â | Â | Bin 1y | Â | Â | Bin 2y | Â | Â | Bin 3y |
| Â | Â | 1x | 1 y | 1z | 2x | 2y | 2z | 3x | 3y | 3z |
1 | 10.00 | 10.00 | 8.04 | 10.00 | 10.00 | 9.14 | 10.00 | 10.00 | 7.46 | 8.00 |
2 | 8.00 | 8.00 | 6.95 | 8.00 | 8.00 | 8.14 | 10.00 | 8.00 | 6.77 | 8.00 |
3 | 10.00 | 13.00 | 7.58 | 8.00 | 13.00 | 8.74 | 10.00 | 13.00 | 12.74 | 10.00 |
4 | 10.00 | 9.00 | 8.81 | 10.00 | 9.00 | 8.77 | 10.00 | 9.00 | 7.11 | 8.00 |
5 | 10.00 | 11.00 | 8.33 | 10.00 | 11.00 | 9.26 | 10.00 | 11.00 | 7.81 | 8.00 |
6 | 10.00 | 14.00 | 9.96 | 10.00 | 14.00 | 8.10 | 10.00 | 14.00 | 8.84 | 10.00 |
7 | 6.00 | 6.00 | 7.24 | 8.00 | 6.00 | 6.13 | 8.00 | 6.00 | 6.08 | 8.00 |
8 | 4.00 | 4.00 | 4.26 | 6.00 | 4.00 | 3.10 | 4.00 | 4.00 | 5.39 | 6.00 |
9 | 10.00 | 12.00 | 10.84 | 10.00 | 12.00 | 9.13 | 10.00 | 12.00 | 8.15 | 10.00 |
10 | 8.00 | 7.00 | 4.82 | 6.00 | 7.00 | 7.26 | 8.00 | 7.00 | 6.42 | 8.00 |
11 | 6.00 | 5.00 | 5.68 | 6.00 | 5.00 | 4.74 | 6.00 | 5.00 | 5.73 | 6.00 |
mean | 8.36 | 9.00 | 7.50 | 8.36 | 9.00 | 7.50 | 8.73 | 9.00 | 7.50 | 8.18 |
std dev | 2.15744 | 3.316625 | 2.031568 | 1.747726 | 3.316625 | 2.031657 | 2.053821 | 3.316625 | 2.030424 | 1.401298 |
skewness | -1.01393 | -8.1E-17 | -0.06504 | -0.40869 | -8.1E-17 | -1.3158 | -1.58382 | -8.1E-17 | 1.855495 | -0.12334 |
kurtosis | -0.20589 | -1.2 | -0.5349 | -1.62132 | -1.2 | 0.846123 | 1.743956 | -1.2 | 4.384089 | -0.45267 |
| Â | Case E | Case F | Case G | |||||||
Observation | 4x | 4y | 4z | 5x | 5y | 5z | 6x | 6y | 6z | |
1 | 8.00 | 6.58 | 8.00 | 10.00 | 8.00 | 8.00 | 10.00 | 5.33 | 6.00 | |
2 | 8.00 | 5.76 | 6.00 | 8.00 | 2.00 | 2.00 | 8.00 | 4.67 | 6.00 | |
3 | 8.00 | 7.71 | 8.00 | 13.00 | 17.00 | 10.00 | 13.00 | 6.33 | 8.00 | |
4 | 8.00 | 8.84 | 10.00 | 9.00 | 5.00 | 6.00 | 9.00 | 5.00 | 6.00 | |
5 | 8.00 | 8.47 | 10.00 | 11.00 | 11.00 | 10.00 | 11.00 | 5.67 | 6.00 | |
6 | 8.00 | 7.04 | 8.00 | 14.00 | 20.00 | 10.00 | 14.00 | 6.67 | 8.00 | |
7 | 8.00 | 5.25 | 6.00 | 6.00 | -4.00 | 2.00 | 6.00 | 4.00 | 6.00 | |
8 | 19.00 | 12.50 | 10.00 | 4.00 | -10.00 | 2.00 | 4.00 | 3.33 | 4.00 | |
9 | 8.00 | 5.56 | 6.00 | 12.00 | 14.00 | 10.00 | 12.00 | 6.00 | 6.00 | |
10 | 8.00 | 7.91 | 8.00 | 7.00 | -1.00 | 2.00 | 7.00 | 4.33 | 6.00 | |
11 | 8.00 | 6.89 | 8.00 | 5.00 | -7.00 | 2.00 | 5.00 | 3.67 | 4.00 | |
mean | 9.00 | 7.50 | 8.00 | 9.00 | 5.00 | 5.82 | 9.00 | 5.00 | 6.00 | |
std dev | 3.316625 | 2.030579 | 1.549193 | 3.316625 | 9.949874 | 3.842348 | 3.316625 | 1.105431 | 1.264911 | |
skewness | 3.316625 | 1.506818 | 0 | -8.1E-17 | -8.1E-17 | 0.052992 | -8.1E-17 | 2.96E-15 | 0 | |
kurtosis | 11 | 3.151315 | -1.11111 | -1.2 | -1.2 | -2.22488 | -1.2 | -1.2 | 0.416667 | |