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Unformatted text preview: EXPERIMENT: we select n doses, so we have n groups…. we give the doses en we measure the response. ARE THE RESPONSES SIGNIFICANTLY DIFFERENT EAT: ANOVA TESTS ALL GROUPS IN ONE SINGLE TEST USING KUDZU JAPANESE PLANT FILE Histogram (response is BMD) 9 8 7 Frequency 6 5 4 3 2 1 0 -0.024 -0.012 0.000 Residual 0.012 0.024 ERRORS ARE NORMALLY DISTRIBUTED BELOW IS A RESIDUALS V. PREDICTED (WE SUSPECT OF DIFFERENT VARIATION IN RESPONSES FOR HIGH DOSE Versus Fits (response is BMD) 0.04 0.03 Residual 0.02 0.01 0.00 -0.01 -0.02 -0.03 0.215 0.220 0.225 Fitted Value 0.230 0.235 CONDITIONS FOR ANOVA RESPONSES ARE NORMALLY DISTR ERRORS ARE NORMALLY DISTR VARIANCES ARE EQUAL test for equal variance Bartlett's Test Test Statistic P-Value 1 4.59 0.101 Levene's Test Group Test Statistic P-Value 3.00 0.061 2 3 0.010 0.015 0.020 0.025 0.030 0.035 95% Bonferroni Confidence Intervals for StDevs BELOW BOXPLOT SEEMS TO SHOW THAT GROUP 3 HAS A SIGNIFICANTLY HIGHER MEAN Boxplot of BMD 0.27 0.26 0.25 BMD 0.24 0.23 0.22 0.21 0.20 0.19 1 2 Group 3 ource roup rror otal DF 2 42 44 SS 0.003186 0.008668 0.011853 = 0.01437 evel N 15 15 15 MS 0.001593 0.000206 R-Sq = 26.88% Mean 0.21887 0.21593 0.23507 StDev 0.01159 0.01151 0.01877 F 7.72 P 0.001 R-Sq(adj) = 23.39% Individual 95% CIs For Mean Based on Pooled StDev --+---------+---------+---------+------(-------*------) (-------*------) (------*-------) --+---------+---------+---------+------0.210 0.220 0.230 0.240 ooled StDev = 0.01...
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