| Chapter 13 : Pygmalion effect study |
| Data Listing |
| Obs | treat | COMPANY | SCORE |
|---|---|---|---|
| 1 | PYGMALION | C1 | 80.0000 |
| 2 | CONTROL | C1 | 63.2000 |
| 3 | CONTROL | C1 | 69.2000 |
| 4 | PYGMALION | C2 | 83.9000 |
| 5 | CONTROL | C2 | 63.1000 |
| 6 | CONTROL | C2 | 81.5000 |
| 7 | PYGMALION | C3 | 68.2000 |
| 8 | CONTROL | C3 | 76.2000 |
| 9 | PYGMALION | C4 | 76.5000 |
| 10 | CONTROL | C4 | 59.5000 |
| 11 | CONTROL | C4 | 73.5000 |
| 12 | PYGMALION | C5 | 87.8000 |
| 13 | CONTROL | C5 | 73.9000 |
| 14 | CONTROL | C5 | 78.5000 |
| 15 | PYGMALION | C6 | 89.8000 |
| 16 | CONTROL | C6 | 78.9000 |
| 17 | CONTROL | C6 | 84.7000 |
| 18 | PYGMALION | C7 | 76.1000 |
| 19 | CONTROL | C7 | 60.6000 |
| 20 | CONTROL | C7 | 69.6000 |
| 21 | PYGMALION | C8 | 71.5000 |
| 22 | CONTROL | C8 | 67.8000 |
| 23 | CONTROL | C8 | 73.2000 |
| 24 | PYGMALION | C9 | 69.5000 |
| 25 | CONTROL | C9 | 72.3000 |
| 26 | CONTROL | C9 | 73.9000 |
| 27 | PYGMALION | C10 | 83.7000 |
| 28 | CONTROL | C10 | 63.7000 |
| 29 | CONTROL | C10 | 77.7000 |
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
| Model Information | |
|---|---|
| Data Set | WORK.PYGMALION |
| Dependent Variable | SCORE |
| Covariance Structure | Variance Components |
| Estimation Method | REML |
| Residual Variance Method | Profile |
| Fixed Effects SE Method | Model-Based |
| Degrees of Freedom Method | Containment |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| COMPANY | 10 | C1 C10 C2 C3 C4 C5 C6 C7 C8 C9 |
| treat | 2 | CONTROL PYGMALION |
| Dimensions | |
|---|---|
| Covariance Parameters | 3 |
| Columns in X | 3 |
| Columns in Z | 30 |
| Subjects | 1 |
| Max Obs Per Subject | 29 |
| Number of Observations | |
|---|---|
| Number of Observations Read | 29 |
| Number of Observations Used | 29 |
| Number of Observations Not Used | 0 |
| Iteration History | |||
|---|---|---|---|
| Iteration | Evaluations | -2 Res Log Like | Criterion |
| 0 | 1 | 189.62816349 | |
| 1 | 3 | 188.52486198 | 0.00001389 |
| 2 | 1 | 188.52387871 | 0.00000001 |
| 3 | 1 | 188.52387787 | 0.00000000 |
| Convergence criteria met. |
| Covariance Parameter Estimates | |||||||
|---|---|---|---|---|---|---|---|
| Cov Parm | Estimate | Standard Error | Z Value | Pr Z | Alpha | Lower | Upper |
| COMPANY | 11.5096 | 13.1166 | 0.88 | 0.1901 | 0.05 | 2.7832 | 1177.86 |
| COMPANY*treat | 0 | . | . | . | . | . | . |
| Residual | 42.9038 | 14.1942 | 3.02 | 0.0013 | 0.05 | 24.5843 | 93.1732 |
| Fit Statistics | |
|---|---|
| -2 Res Log Likelihood | 188.5 |
| AIC (smaller is better) | 192.5 |
| AICC (smaller is better) | 193.0 |
| BIC (smaller is better) | 193.1 |
| Type 3 Tests of Fixed Effects | ||||
|---|---|---|---|---|
| Effect | Num DF | Den DF | F Value | Pr > F |
| treat | 1 | 9 | 7.72 | 0.0214 |
| Least Squares Means | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Effect | treat | Estimate | Standard Error | DF | t Value | Pr > |t| | Alpha | Lower | Upper |
| treat | CONTROL | 71.5776 | 1.8514 | 9 | 38.66 | <.0001 | 0.05 | 67.3895 | 75.7657 |
| treat | PYGMALION | 78.7000 | 2.3327 | 9 | 33.74 | <.0001 | 0.05 | 73.4231 | 83.9769 |
| Differences of Least Squares Means | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Effect | treat | _treat | Estimate | Standard Error | DF | t Value | Pr > |t| | Adjustment | Adj P | Alpha | Lower | Upper | Adj Lower | Adj Upper |
| treat | CONTROL | PYGMALION | -7.1224 | 2.5626 | 9 | -2.78 | 0.0214 | Tukey-Kramer | 0.0214 | 0.05 | -12.9195 | -1.3254 | -12.9193 | -1.3256 |
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
Estimate Mean
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--------------------------------
CONTROL PYGMALION
treat
|
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
| Moments | |||
|---|---|---|---|
| N | 29 | Sum Weights | 29 |
| Mean | 0 | Sum Observations | 0 |
| Std Deviation | 5.94652573 | Variance | 35.3611683 |
| Skewness | -0.4620638 | Kurtosis | -1.0780922 |
| Uncorrected SS | 990.112712 | Corrected SS | 990.112712 |
| Coeff Variation | . | Std Error Mean | 1.10424211 |
| Basic Statistical Measures | |||
|---|---|---|---|
| Location | Variability | ||
| Mean | 0.000000 | Std Deviation | 5.94653 |
| Median | 1.637335 | Variance | 35.36117 |
| Mode | . | Range | 19.17583 |
| Interquartile Range | 10.02176 | ||
| Tests for Location: Mu0=0 | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Student's t | t | 0 | Pr > |t| | 1.0000 |
| Sign | M | 1.5 | Pr >= |M| | 0.7111 |
| Signed Rank | S | 4.5 | Pr >= |S| | 0.9245 |
| Tests for Normality | ||||
|---|---|---|---|---|
| Test | Statistic | p Value | ||
| Shapiro-Wilk | W | 0.912103 | Pr < W | 0.0193 |
| Kolmogorov-Smirnov | D | 0.153832 | Pr > D | 0.0788 |
| Cramer-von Mises | W-Sq | 0.151147 | Pr > W-Sq | 0.0221 |
| Anderson-Darling | A-Sq | 0.949008 | Pr > A-Sq | 0.0155 |
| Quantiles (Definition 5) | |
|---|---|
| Quantile | Estimate |
| 100% Max | 8.93474 |
| 99% | 8.93474 |
| 95% | 8.43359 |
| 90% | 6.41116 |
| 75% Q3 | 4.21231 |
| 50% Median | 1.63734 |
| 25% Q1 | -5.80945 |
| 10% | -9.46527 |
| 5% | -9.47383 |
| 1% | -10.24110 |
| 0% Min | -10.24110 |
| Extreme Observations | |||
|---|---|---|---|
| Lowest | Highest | ||
| Value | Obs | Value | Obs |
| -10.24110 | 10 | 5.64860 | 8 |
| -9.47383 | 7 | 6.37322 | 12 |
| -9.46527 | 5 | 6.41116 | 15 |
| -8.66545 | 19 | 8.43359 | 17 |
| -8.35989 | 28 | 8.93474 | 6 |
Stem Leaf # Boxplot Normal Probability Plot
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6 44 2 | | +**
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----+----+----+----+ +----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
|
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
| Class Level Information | ||
|---|---|---|
| Class | Levels | Values |
| COMPANY | 10 | C1 C10 C2 C3 C4 C5 C6 C7 C8 C9 |
| treat | 2 | CONTROL PYGMALION |
| Number of Observations Read | 29 |
|---|---|
| Number of Observations Used | 29 |
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
| Source | DF | Sum of Squares | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| Model | 19 | 1321.322322 | 69.543280 | 1.34 | 0.3358 |
| Error | 9 | 467.039883 | 51.893320 | ||
| Corrected Total | 28 | 1788.362205 |
| R-Square | Coeff Var | Root MSE | SCORE Mean |
|---|---|---|---|
| 0.738845 | 9.725668 | 7.203702 | 74.06897 |
| Source | DF | Type I SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| treat | 1 | 327.3410535 | 327.3410535 | 6.31 | 0.0332 |
| COMPANY | 9 | 682.5172780 | 75.8352531 | 1.46 | 0.2905 |
| COMPANY*treat | 9 | 311.4639907 | 34.6071101 | 0.67 | 0.7221 |
| Source | DF | Type III SS | Mean Square | F Value | Pr > F |
|---|---|---|---|---|---|
| treat | 1 | 301.8426278 | 301.8426278 | 5.82 | 0.0391 |
| COMPANY | 9 | 665.6630817 | 73.9625646 | 1.43 | 0.3030 |
| COMPANY*treat | 9 | 311.4639907 | 34.6071101 | 0.67 | 0.7221 |
| Tests of Hypotheses Using the Type III MS for COMPANY*treat as an Error Term | |||||
|---|---|---|---|---|---|
| Source | DF | Type III SS | Mean Square | F Value | Pr > F |
| treat | 1 | 301.8426278 | 301.8426278 | 8.72 | 0.0161 |
| COMPANY | 9 | 665.6630817 | 73.9625646 | 2.14 | 0.1366 |
| Chapter 13 : Pygmalion effect study |
| Randomized block design |
| Source | Type III Expected Mean Square |
|---|---|
| treat | Var(Error) + 1.2903 Var(COMPANY*treat) + Q(treat) |
| COMPANY | Var(Error) + 1.2991 Var(COMPANY*treat) + 2.5983 Var(COMPANY) |
| COMPANY*treat | Var(Error) + 1.2991 Var(COMPANY*treat) |