UNISTAT statistical package extends Excel with General Linear Model support.
General Linear Model
ANOVA
Dependent Variable: Score
| Due To | Sum of Squares | DoF | Mean Square | F-Stat | | Signif |
| Constant | 105868.167 | 1 | 105868.167 | 23.848 | | 0.0000 |
| Subject | 2959.278 | 5 | 591.856 | 4.800 | | 0.0018 |
| Dial | 2370.333 | 2 | 1185.167 | 9.611 | | 0.0005 |
| Subject × Dial | 155.889 | 10 | 15.589 | 0.126 | | 0.9993 |
| Explained | 5485.500 | 17 | 322.676 | 2.617 | | 0.0075 |
| Error | 4439.333 | 36 | 123.315 | | | |
| Total | 9924.833 | 53 | 187.261 | | | |
| R-squared | 0.5527 |
| Adjusted R-squared | 0.3415 |
Table of Least Squares Means (LSMeans)
| Least Squares Means | Standard Error | t-Statistic | Significance | Lower 95% | Upper 95% |
| Constant | 44.2778 | 1.5112 | 29.3005 | 0.0000 | 41.2130 | 47.3426 |
| Subject = 1 | 46.4444 | 3.7016 | 12.5472 | 0.0000 | 38.9373 | 53.9516 |
| 2 | 37.5556 | 3.7016 | 10.1458 | 0.0000 | 30.0484 | 45.0627 |
| 3 | 57.6667 | 3.7016 | 15.5790 | 0.0000 | 50.1595 | 65.1738 |
| 4 | 38.1111 | 3.7016 | 10.2959 | 0.0000 | 30.6040 | 45.6182 |
| 5 | 37.5556 | 3.7016 | 10.1458 | 0.0000 | 30.0484 | 45.0627 |
| 6 | 48.3333 | 3.7016 | 13.0575 | 0.0000 | 40.8262 | 55.8405 |
| Dial = 1 | 37.3889 | 2.6174 | 14.2847 | 0.0000 | 32.0805 | 42.6972 |
| 2 | 42.2222 | 2.6174 | 16.1313 | 0.0000 | 36.9139 | 47.5306 |
| 3 | 53.2222 | 2.6174 | 20.3339 | 0.0000 | 47.9139 | 58.5306 |
| Subject × Dial = 1 × 1 | 37.6667 | 6.4113 | 5.8750 | 0.0000 | 24.6639 | 50.6694 |
| 1 × 2 | 47.3333 | 6.4113 | 7.3828 | 0.0000 | 34.3306 | 60.3361 |
| 1 × 3 | 54.3333 | 6.4113 | 8.4746 | 0.0000 | 41.3306 | 67.3361 |
| 2 × 1 | 30.0000 | 6.4113 | 4.6792 | 0.0000 | 16.9973 | 43.0027 |
| 2 × 2 | 36.6667 | 6.4113 | 5.7191 | 0.0000 | 23.6639 | 49.6694 |
| 2 × 3 | 46.0000 | 6.4113 | 7.1748 | 0.0000 | 32.9973 | 59.0027 |
| 3 × 1 | 52.6667 | 6.4113 | 8.2146 | 0.0000 | 39.6639 | 65.6694 |
| 3 × 2 | 55.3333 | 6.4113 | 8.6306 | 0.0000 | 42.3306 | 68.3361 |
| 3 × 3 | 65.0000 | 6.4113 | 10.1383 | 0.0000 | 51.9973 | 78.0027 |
| 4 × 1 | 30.3333 | 6.4113 | 4.7312 | 0.0000 | 17.3306 | 43.3361 |
| 4 × 2 | 35.0000 | 6.4113 | 5.4591 | 0.0000 | 21.9973 | 48.0027 |
| 4 × 3 | 49.0000 | 6.4113 | 7.6427 | 0.0000 | 35.9973 | 62.0027 |
| 5 × 1 | 31.3333 | 6.4113 | 4.8872 | 0.0000 | 18.3306 | 44.3361 |
| 5 × 2 | 36.3333 | 6.4113 | 5.6671 | 0.0000 | 23.3306 | 49.3361 |
| 5 × 3 | 45.0000 | 6.4113 | 7.0188 | 0.0000 | 31.9973 | 58.0027 |
| 6 × 1 | 42.3333 | 6.4113 | 6.6029 | 0.0000 | 29.3306 | 55.3361 |
| 6 × 2 | 42.6667 | 6.4113 | 6.6549 | 0.0000 | 29.6639 | 55.6694 |
| 6 × 3 | 60.0000 | 6.4113 | 9.3585 | 0.0000 | 46.9973 | 73.0027 |
Coefficients
| Coefficient | Standard Error | t-Statistic | Significance | Lower 95% | Upper 95% |
| Constant | 60.0000 | 6.4113 | 9.3585 | 0.0000 | 46.9973 | 73.0027 |
| Subject = 1 | -5.6667 | 9.0670 | -0.6250 | 0.5359 | -24.0553 | 12.7220 |
| 2 | -14.0000 | 9.0670 | -1.5441 | 0.1313 | -32.3887 | 4.3887 |
| 3 | 5.0000 | 9.0670 | 0.5515 | 0.5847 | -13.3887 | 23.3887 |
| 4 | -11.0000 | 9.0670 | -1.2132 | 0.2330 | -29.3887 | 7.3887 |
| 5 | -15.0000 | 9.0670 | -1.6544 | 0.1067 | -33.3887 | 3.3887 |
| 6 | * | | | | | |
| Dial = 1 | -17.6667 | 9.0670 | -1.9485 | 0.0592 | -36.0553 | 0.7220 |
| 2 | -17.3333 | 9.0670 | -1.9117 | 0.0639 | -35.7220 | 1.0553 |
| 3 | * | | | | | |
| Subject × Dial = 1 × 1 | 1.0000 | 12.8226 | 0.0780 | 0.9383 | -25.0055 | 27.0055 |
| 1 × 2 | 10.3333 | 12.8226 | 0.8059 | 0.4256 | -15.6722 | 36.3388 |
| 1 × 3 | * | | | | | |
| 2 × 1 | 1.6667 | 12.8226 | 0.1300 | 0.8973 | -24.3388 | 27.6722 |
| 2 × 2 | 8.0000 | 12.8226 | 0.6239 | 0.5366 | -18.0055 | 34.0055 |
| 2 × 3 | * | | | | | |
| 3 × 1 | 5.3333 | 12.8226 | 0.4159 | 0.6799 | -20.6722 | 31.3388 |
| 3 × 2 | 7.6667 | 12.8226 | 0.5979 | 0.5536 | -18.3388 | 33.6722 |
| 3 × 3 | * | | | | | |
| 4 × 1 | -1.0000 | 12.8226 | -0.0780 | 0.9383 | -27.0055 | 25.0055 |
| 4 × 2 | 3.3333 | 12.8226 | 0.2600 | 0.7964 | -22.6722 | 29.3388 |
| 4 × 3 | * | | | | | |
| 5 × 1 | 4.0000 | 12.8226 | 0.3119 | 0.7569 | -22.0055 | 30.0055 |
| 5 × 2 | 8.6667 | 12.8226 | 0.6759 | 0.5034 | -17.3388 | 34.6722 |
| 5 × 3 | * | | | | | |
| 6 × 1 | * | | | | | |
| 6 × 2 | * | | | | | |
| 6 × 3 | * | | | | | |
* omitted due to multicollinearity
Actual and Fitted Values
| Row | Actual * | Fitted + | 16.0000 77.0000 |
| 1 | 45.0000 | 37.6667 | + * |
| 2 | 53.0000 | 47.3333 | + * |
| 3 | 60.0000 | 54.3333 | + * |
| 4 | 40.0000 | 37.6667 | + * |
| 5 | 52.0000 | 47.3333 | + * |
| 6 | 57.0000 | 54.3333 | + * |
| 7 | 28.0000 | 37.6667 | * + |
| 8 | 37.0000 | 47.3333 | * + |
| 9 | 46.0000 | 54.3333 | * + |
| 10 | 35.0000 | 30.0000 | + * |
| 11 | 41.0000 | 36.6667 | + * |
| 12 | 50.0000 | 46.0000 | + * |
| 13 | 30.0000 | 30.0000 | * |
| 14 | 37.0000 | 36.6667 | * |
| 15 | 47.0000 | 46.0000 | +* |
| 16 | 25.0000 | 30.0000 | * + |
| 17 | 32.0000 | 36.6667 | * + |
| 18 | 41.0000 | 46.0000 | * + |
| 19 | 60.0000 | 52.6667 | + * |
| 20 | 65.0000 | 55.3333 | + * |
| 21 | 75.0000 | 65.0000 | + * |
| 22 | 58.0000 | 52.6667 | + * |
| 23 | 54.0000 | 55.3333 | *+ |
| 24 | 70.0000 | 65.0000 | + * |
| 25 | 40.0000 | 52.6667 | * + |
| 26 | 47.0000 | 55.3333 | * + |
| 27 | 50.0000 | 65.0000 | * + |
| 28 | 50.0000 | 30.3333 | + * |
| 29 | 48.0000 | 35.0000 | + * |
| 30 | 61.0000 | 49.0000 | + * |
| 31 | 25.0000 | 30.3333 | * + |
| 32 | 34.0000 | 35.0000 | *+ |
| 33 | 51.0000 | 49.0000 | + * |
| 34 | 16.0000 | 30.3333 | * + |
| 35 | 23.0000 | 35.0000 | * + |
| 36 | 35.0000 | 49.0000 | * + |
| 37 | 42.0000 | 31.3333 | + * |
| 38 | 45.0000 | 36.3333 | + * |
| 39 | 55.0000 | 45.0000 | + * |
| 40 | 30.0000 | 31.3333 | *+ |
| 41 | 37.0000 | 36.3333 | * |
| 42 | 43.0000 | 45.0000 | * + |
| 43 | 22.0000 | 31.3333 | * + |
| 44 | 27.0000 | 36.3333 | * + |
| 45 | 37.0000 | 45.0000 | * + |
| 46 | 56.0000 | 42.3333 | + * |
| 47 | 60.0000 | 42.6667 | + * |
| 48 | 77.0000 | 60.0000 | + * |
| 49 | 40.0000 | 42.3333 | * + |
| 50 | 39.0000 | 42.6667 | * + |
| 51 | 57.0000 | 60.0000 | * + |
| 52 | 31.0000 | 42.3333 | * + |
| 53 | 29.0000 | 42.6667 | * + |
| 54 | 46.0000 | 60.0000 | * + |
Residuals
| Row | Residuals | -19.6667 19.6667 |
| 1 | 7.3333 | * |
| 2 | 5.6667 | * |
| 3 | 5.6667 | * |
| 4 | 2.3333 | * |
| 5 | 4.6667 | * |
| 6 | 2.6667 | * |
| 7 | -9.6667 | * |
| 8 | -10.3333 | * |
| 9 | -8.3333 | * |
| 10 | 5.0000 | * |
| 11 | 4.3333 | * |
| 12 | 4.0000 | * |
| 13 | 0.0000 | * |
| 14 | 0.3333 | * |
| 15 | 1.0000 | * |
| 16 | -5.0000 | * |
| 17 | -4.6667 | * |
| 18 | -5.0000 | * |
| 19 | 7.3333 | * |
| 20 | 9.6667 | * |
| 21 | 10.0000 | * |
| 22 | 5.3333 | * |
| 23 | -1.3333 | * |
| 24 | 5.0000 | * |
| 25 | -12.6667 | * |
| 26 | -8.3333 | * |
| 27 | -15.0000 | * |
| 28 | 19.6667 | * |
| 29 | 13.0000 | * |
| 30 | 12.0000 | * |
| 31 | -5.3333 | * |
| 32 | -1.0000 | * |
| 33 | 2.0000 | * |
| 34 | -14.3333 | * |
| 35 | -12.0000 | * |
| 36 | -14.0000 | * |
| 37 | 10.6667 | * |
| 38 | 8.6667 | * |
| 39 | 10.0000 | * |
| 40 | -1.3333 | * |
| 41 | 0.6667 | * |
| 42 | -2.0000 | * |
| 43 | -9.3333 | * |
| 44 | -9.3333 | * |
| 45 | -8.0000 | * |
| 46 | 13.6667 | * |
| 47 | 17.3333 | * |
| 48 | 17.0000 | * |
| 49 | -2.3333 | * |
| 50 | -3.6667 | * |
| 51 | -3.0000 | * |
| 52 | -11.3333 | * |
| 53 | -13.6667 | * |
| 54 | -14.0000 | * |
Student-Newman-Keuls
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 6.0492 | 3.4568 | 0.0004 | * | * | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.8466 | 2.8682 | 0.1999 | * | * | |
| 3 - 2 | 11.0000 | 3.7016 | 4.2026 | 2.8682 | 0.0053 | * | * | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
| |
| Between Homogeneous subsets: |
| Group 2 - Group 1 |
| Difference | 13.4167 |
| 95% Confidence Interval | 5.5811 <> 21.2522 |
Tukey-HSD
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 6.0492 | 3.4568 | 0.0004 | 6.7856 | 24.8811 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.8466 | 3.4568 | 0.4013 | -4.2144 | 13.8811 | |
| 3 - 2 | 11.0000 | 3.7016 | 4.2026 | 3.4568 | 0.0142 | 1.9523 | 20.0477 | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
| |
| Between Homogeneous subsets: |
| Group 2 - Group 1 |
| Difference | 13.4167 |
| 95% Confidence Interval | 5.5811 <> 21.2522 |
Tukey-B
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 6.0492 | 3.4568 | 0.0004 | 6.7856 | 24.8811 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.8466 | 3.1625 | 0.1999 | -4.2144 | 13.8811 | |
| 3 - 2 | 11.0000 | 3.7016 | 4.2026 | 3.1625 | 0.0053 | 1.9523 | 20.0477 | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
| |
| Between Homogeneous subsets: |
| Group 2 - Group 1 |
| Difference | 13.4167 |
| 95% Confidence Interval | 5.5811 <> 21.2522 |
Duncan
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 6.0492 | 3.0144 | * | * | * | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.8466 | 2.8674 | * | * | * | |
| 3 - 2 | 11.0000 | 3.7016 | 4.2026 | 2.8674 | * | * | * | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
Scheffe
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 4.2775 | 2.5532 | 0.0006 | 6.3824 | 25.2842 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.3058 | 2.5532 | 0.4348 | -4.6176 | 14.2842 | |
| 3 - 2 | 11.0000 | 3.7016 | 2.9717 | 2.5532 | 0.0193 | 1.5491 | 20.4509 | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
| |
| Between Homogeneous subsets: |
| Group 2 - Group 1 |
| Difference | 13.4167 |
| 95% Confidence Interval | 2.3355 <> 24.4978 |
Least Significant Difference (LSD)
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 4.2775 | 2.0281 | 0.0001 | 8.3262 | 23.3405 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.3058 | 2.0281 | 0.1975 | -2.6738 | 12.3405 | |
| 3 - 2 | 11.0000 | 3.7016 | 2.9717 | 2.0281 | 0.0045 | 3.4929 | 18.5071 | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
Bonferroni (Modified LSD)
For Score, classified by Dial
Comparisons are between Least Squares Means.
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | 2 | 3 | |
| 1 | 18 | 37.3889 | | | ** | | |
| 2 | 18 | 42.2222 | | | ** | | |
| 3 | 18 | 53.2222 | ** | ** | | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 4.2775 | 2.5110 | 0.0002 | 6.5385 | 25.1281 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.3058 | 2.5110 | 0.5925 | -4.4615 | 14.1281 | |
| 3 - 2 | 11.0000 | 3.7016 | 2.9717 | 2.5110 | 0.0135 | 1.7052 | 20.2948 | ** |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
Dunnett
For Score, classified by Dial
Comparisons are between Least Squares Means.
Control Group: 1, Two-Tailed Test
Mean Square Error: 123.314814814815, Degrees of Freedom: 36
** denotes significantly different pairs. Vertical bars show homogeneous subsets.
A pairwise test result is significant if its q stat value is greater than the table q.
| Group | Cases | Mean | 1 | |
| 1 | 18 | 37.3889 | | | |
| 2 | 18 | 42.2222 | | | |
| 3 | 18 | 53.2222 | ** | | |
| Comparison | Difference | Standard Error | q Stat | Table q | Significance | Lower 95% | Upper 95% | Result |
| 3 - 1 | 15.8333 | 3.7016 | 4.2775 | 2.3020 | 0.0003 | 7.3123 | 24.3543 | ** |
| 2 - 1 | 4.8333 | 3.7016 | 1.3058 | 2.3020 | 0.3317 | -3.6877 | 13.3543 | |
| Homogeneous Subsets: |
| Group 1: 1 2 |
| Pooled mean | 39.8056 |
| 95% Confidence Interval | 36.0520 <> 43.5591 |
| Group 2: 3 |
| Pooled mean | 53.2222 |
| 95% Confidence Interval | 47.9139 <> 58.5306 |
| |
| Between Homogeneous subsets: |
| Group 2 - Group 1 |
| Difference | 13.4167 |
| 95% Confidence Interval | 2.3355 <> 24.4978 |
General Linear Model
ANOVA
Dependent Variable: Score
| Due To | Sum of Squares | DoF | Mean Square | F-Stat | | Signif |
| Constant | 105868.167 | 1 | 105868.167 | 35.782 | | 0.0000 |
| Between Subjects | 2959.278 | 5 | 591.856 | | | |
| Noise | 468.167 | 1 | 468.167 | 0.752 | a | 0.4348 |
| Error Between | 2491.111 | 4 | 622.778 | | | |
| Within Subjects | 6965.556 | 48 | 145.116 | | | |
| Period | 3722.333 | 2 | 1861.167 | 63.389 | b | 0.0000 |
| Period × Noise | 333.000 | 2 | 166.500 | 5.671 | b | 0.0293 |
| Dial | 2370.333 | 2 | 1185.167 | 89.823 | c | 0.0000 |
| Dial × Noise | 50.333 | 2 | 25.167 | 1.907 | c | 0.2102 |
| Dial × Period | 10.667 | 4 | 2.667 | 0.336 | d | 0.8499 |
| Dial × Period × Noise | 11.333 | 4 | 2.833 | 0.357 | d | 0.8357 |
| Error Within | 467.556 | 32 | 14.611 | | | |
| Period × SubjWGrps | 234.889 | 8 | 29.361 | | | |
| Dial × SubjWGrps | 105.556 | 8 | 13.194 | | | |
| Dial × Period × SubjWGrps | 127.111 | 16 | 7.944 | | | |
| Explained | 6966.167 | 17 | 409.775 | 4.986 | | 0.0000 |
| Error | 2958.667 | 36 | 82.185 | | | |
| Total | 9924.833 | 53 | 187.261 | | | |
a F-Statistic: Error Between
b F-Statistic: Period × SubjWGrps
c F-Statistic: Dial × SubjWGrps
d F-Statistic: Dial × Period × SubjWGrps
Table of Means
| Cases | Mean | Standard Deviation | Standard Error | Lower 95% | Upper 95% |
| whole sample | 54 | 44.2778 | 13.6843 | 1.8622 | 40.5427 | 48.0129 |
| Noise = High | 27 | 47.2222 | 12.7108 | 2.4462 | 42.1940 | 52.2504 |
| Low | 27 | 41.3333 | 14.2181 | 2.7363 | 35.7088 | 46.9578 |
| Period = 1 | 18 | 54.3333 | 11.2616 | 2.6544 | 48.7331 | 59.9336 |
| 2 | 18 | 44.5000 | 11.9718 | 2.8218 | 38.5466 | 50.4534 |
| 3 | 18 | 34.0000 | 9.7317 | 2.2938 | 29.1605 | 38.8395 |
| Period × Noise = 1 × High | 9 | 53.7778 | 12.5576 | 4.1859 | 44.1251 | 63.4304 |
| 1 × Low | 9 | 54.8889 | 10.5409 | 3.5136 | 46.7864 | 62.9914 |
| 2 × High | 9 | 49.4444 | 12.2893 | 4.0964 | 39.9980 | 58.8909 |
| 2 × Low | 9 | 39.5556 | 9.9261 | 3.3087 | 31.9257 | 47.1854 |
| 3 × High | 9 | 38.4444 | 8.7050 | 2.9017 | 31.7532 | 45.1357 |
| 3 × Low | 9 | 29.5556 | 9.0015 | 3.0005 | 22.6364 | 36.4748 |
| Dial = 1 | 18 | 37.3889 | 12.8023 | 3.0175 | 31.0225 | 43.7553 |
| 2 | 18 | 42.2222 | 11.6091 | 2.7363 | 36.4492 | 47.9953 |
| 3 | 18 | 53.2222 | 12.0711 | 2.8452 | 47.2194 | 59.2251 |
| Dial × Noise = 1 × High | 3 | 47.3333 | 6.8069 | 3.9299 | 30.4242 | 64.2425 |
| 1 × Low | 3 | 64.3333 | 11.1505 | 6.4377 | 36.6340 | 92.0327 |
| 2 × High | 6 | 43.1667 | 12.2868 | 5.0161 | 30.2724 | 56.0609 |
| 2 × Low | 3 | 38.0000 | 8.5440 | 4.9329 | 16.7755 | 59.2245 |
| 3 × High | 3 | 60.6667 | 8.3267 | 4.8074 | 39.9821 | 81.3512 |
| 3 × Low | 3 | 36.6667 | 6.5064 | 3.7565 | 20.5039 | 52.8295 |
| Dial × Period = 1 × 1 | 3 | 45.3333 | 10.1160 | 5.8405 | 20.2038 | 70.4629 |
| 1 × 2 | 6 | 30.8333 | 10.7223 | 4.3773 | 19.5810 | 42.0856 |
| 1 × 3 | 3 | 32.6667 | 8.0208 | 4.6308 | 12.7419 | 52.5915 |
| 2 × 1 | 3 | 45.6667 | 5.1316 | 2.9627 | 32.9191 | 58.4143 |
| 2 × 2 | 3 | 28.6667 | 7.6376 | 4.4096 | 9.6938 | 47.6396 |
| 2 × 3 | 3 | 35.3333 | 9.2916 | 5.3645 | 12.2518 | 58.4149 |
| 3 × 1 | 18 | 37.3889 | 12.8023 | 3.0175 | 31.0225 | 43.7553 |
| 3 × 2 | 18 | 42.2222 | 11.6091 | 2.7363 | 36.4492 | 47.9953 |
| 3 × 3 | 18 | 53.2222 | 12.0711 | 2.8452 | 47.2194 | 59.2251 |
| Dial × Period × Noise = 1 × 1 × High | 9 | 40.1111 | 12.4644 | 4.1548 | 30.5301 | 49.6921 |
| 1 × 1 × Low | 9 | 34.6667 | 13.2759 | 4.4253 | 24.4619 | 44.8714 |
| 1 × 2 × High | 9 | 46.4444 | 10.5607 | 3.5202 | 38.3268 | 54.5621 |
| 1 × 2 × Low | 9 | 38.0000 | 11.6082 | 3.8694 | 29.0772 | 46.9228 |
| 1 × 3 × High | 9 | 55.1111 | 11.4285 | 3.8095 | 46.3264 | 63.8959 |
| 1 × 3 × Low | 9 | 51.3333 | 13.0767 | 4.3589 | 41.2817 | 61.3850 |
| 2 × 1 × High | 6 | 34.0000 | 13.0690 | 5.3354 | 20.2849 | 47.7151 |
| 2 × 1 × Low | 3 | 30.0000 | 5.0000 | 2.8868 | 17.5793 | 42.4207 |
| 2 × 2 × High | 3 | 52.6667 | 11.0151 | 6.3596 | 25.3035 | 80.0298 |
| 2 × 2 × Low | 3 | 31.3333 | 10.0664 | 5.8119 | 6.3269 | 56.3398 |
| 2 × 3 × High | 3 | 42.3333 | 12.6623 | 7.3106 | 10.8785 | 73.7882 |
| 2 × 3 × Low | 6 | 41.1667 | 11.8561 | 4.8402 | 28.7245 | 53.6089 |
| 3 × 1 × High | 3 | 36.6667 | 4.5092 | 2.6034 | 25.4651 | 47.8683 |
| 3 × 1 × Low | 3 | 55.3333 | 9.0738 | 5.2387 | 32.7928 | 77.8738 |
| 3 × 2 × High | 3 | 36.3333 | 9.0185 | 5.2068 | 13.9301 | 58.7365 |
| 3 × 2 × Low | 3 | 42.6667 | 15.8219 | 9.1348 | 3.3628 | 81.9705 |
| 3 × 3 × High | 6 | 51.6667 | 9.9532 | 4.0634 | 41.2214 | 62.1119 |
| 3 × 3 × Low | 3 | 46.0000 | 4.5826 | 2.6458 | 34.6163 | 57.3837 |