Single Table Analysis

Point 95% Confidence Interval Estimate Lower Upper

PARAMETERS: Odds-based Odds Ratio (cross product) 23.4545 5.8410 94.1811 (T)Odds Ratio (MLE) 22.1490 5.9280 109.1473 (M)

5.2153 138.3935 (F)PARAMETERS: Risk-based Risk Ratio (RR) 2.4644 1.5375 3.9502 (T)Risk Difference (RD%) 55.5472 36.5002 74.5943 (T)(T=Taylor series; C=Cornfield; M=Mid-P; F=Fisher Exact)

STATISTICAL TESTS Chi-square 1-tailed p 2-tailed p Chi-square - uncorrected 27.2225 0.0000013505 Chi-square - Mantel-Haenszel 26.8596 0.0000013880 Chi-square - corrected (Yates) 24.5370 0.0000018982 Mid-p exact 0.0000001349 Fisher exact 0.0000002597

2.

Descriptive Statistics for Each Value of Crosstab Variable

Obs Total Mean Variance Std Dev Yes 46 1806.0000 39.2609 477.2638 21.8464

VANILLA ICE CREAM Ill? Yes No TOTAL

YesRow %Col %

4393.579.6

36.5

14.3

46100.061.3

NoRow %Col %

1137.920.4

1862.185.7

29100.038.7

TOTALRow %Col %

5472.0

100.0

2128.0

100.0

75100.0100.0

No 29 955.0000 32.9310 423.7094 20.5842 Minimum 25% Median 75% Maximum Mode

Yes 3.0000 17.0000 38.5000 59.0000 77.0000 15.0000 No 7.0000 14.0000 35.0000 50.0000 69.0000 11.0000

ANOVA, a Parametric Test for Inequality of Population Means

(For normally distributed data only)

Variation SS df MS F statistic Between 712.6550 1 712.6550 1.5604 Within 33340.7316 73 456.7224 Total 34053.3867 74

T Statistic = 1.2491

P-value = 0.2156

Bartlett's Test for Inequality of Population Variances

Bartlett's chi square= 0.1193 df=1 P value=0.7298

A small p-value (e.g., less than 0.05 suggests that the variances are not homogeneous and that the ANOVA may not be appropriate.

Mann-Whitney/Wilcoxon Two-Sample Test (Kruskal-Wallis test for two groups)

Kruskal-Wallis H (equivalent to Chi square) = 1.1612 Degrees of freedom = 1

P value = 0.2812

3.

Linear Regression

Variable Coefficient Std Error F-test P-ValueAgeInDays 6.153 0.928 43.9390 0.000016CONSTANT 67.679 3.191 449.9605 0.000000

Correlation Coefficient: r^2= 0.76

4.

LOGISTIC ILL = COFFEE MILK VANILLA WATER

Unconditional Logistic Regression

Term Odds Ratio 95% C.I. Coefficient S. E. Z-Statistic P-Value

COFFEE (Yes/No) 0.9534 0.2749 3.3063 -0.0477 0.6345 -0.0752 0.9400MILK (Yes/No) 0.4368 0.0371 5.1373 -0.8282 1.2575 -0.6586 0.5102VANILLA (Yes/No) 25.4630 5.9999 108.0627 3.2372 0.7375 4.3894 0.0000

WATER (Yes/No) 1.2471 0.3318 4.6876 0.2208 0.6756 0.3268 0.7438CONSTANT * * * -1.8513 0.7463 -2.4806 0.0131

Convergence: ConvergedIterations: 5Final -2*Log-Likelihood: 71.2476 Cases included: 75

Source df Sum of Squares Mean Square F-statisticRegression 1 508.817 508.817 43.939Residuals 14 162.121 11.580  Total 15 670.938    

Test Statistic D.F. P-ValueScore 27.6172 4 0.0000Likelihood Ratio 28.8375 4 0.0000