One-Way ANOVA

A researcher is interested in how many days it takes athletes to recover from jet lag when they have to fly to and compete in another time zone. It is commonly known that traveling east (moving "ahead" in time) leads to more severe jet lag than traveling west. The researcher finds 18 professional athletes who just traveled a long distance; six stayed in the same time zone, six traveled west, and six traveled east. We want to know if there is a statistically significant effect of traveling within and to different time zones. Here are the data associated with this study.

Oneway [DataSet0] Descriptives VARDODO2 95% Confidence Interval for Mean N Mean Sid Deviation Sid. Error Lower Bound Upper Bound Minimum Maximum 1.00 6 2.5000 54772 22361 1.9252 3.0748 2.00 3.00 2.00 6 5.5000 1.87083 76376 3.5367 7.4633 3.D0 8.00 3.00 1.0000 .63246 25820 3363 1.6637 2.0D Total 18 3.0000 2.22288 52394 1.8946 4.1054 .DO 8.00 Tests of Homogeneity of Variances Levene Statistic df2 Sig VARDO002 Based on Mean 6.719 15 DOB Based on Median 6.719 15 DOB Based on Median and with 6.719 8.000 019 adjusted df Based on trimmed mean 6.719 2 15 DOBANOVA VARD0 002 Sum of Squares df Mean Square F Sig. Between Groups 63.000 2 31.500 22.500 *.001 Within Groups 21.000 15 1.400 Total 84.000 17 ANOVA Effect Sizes" 95% Confidence Interval Point Estimate Lower Upper VARDOD02 Eta-squared 750 399 839 Epsilon-squared 717 319 B18 Omega-squared Fixed- 705 307 809 effect Omega-squared Random- .544 181 679 effect a. Ela-squared and Epsilon-squared are estimated based on the fixed-effect model.Post Hoc Tests Multiple Comparisons Dependent Variable: VARO0002 Schelfe Mean 95% Confidence Interval (1) VARDOOD1 (J) VARODO01 Difference (1-J) Std, Error Sig. Lower Bound Upper Bound 1.00 2.00 -3.00000 68313 002 -4.8539 -1.1461 3.00 1.50000 68313 124 -.3539 3.3539 2.00 1.00 3.00000 68313 002 1.1461 4.8539 3.00 4.50000 68313 $,001 2.6461 6.3539 3.00 1.00 -1.50000 68313 124 -3.3539 3539 2.00 -4.50000 68313 4.001 -6.3539 -2.6461 *. The mean difference is significant at the 0.05 level. Homogeneous Subsets VAR00002 Scheffe Sub set for alpha = 0.05 VARDODO1 N 2 3.00 1.0000 1.00 2.5000 2.00 5.5000 Sig 124 1.000 Means for groups in homogeneous subsets are displayed a. Uses Harmonic Mean Sample Size = 6.000.