One-Way ANOVA Analysis of Cortisol Levels in Different Diagnostic Groups - Prof. A. John B, Study notes of Environmental Science

Download One-Way ANOVA Analysis of Cortisol Levels in Different Diagnostic Groups - Prof. A. John B and more Study notes Environmental Science in PDF only on Docsity! one-way-anova-cortisol-17feb04.doc Bloodstream cortisol levels (at 1600 hours) for a set of normals and four sets of differentially diagnosed psychotics (Lunneborg, 1994, p. 205). Column labels: Y (cortisol) diagnosis I(normal) I(major Dep) I(bipolar Dep) I(Schizoph) I(atypical) 1.0 n 1 0 0 0 0 1.0 n 1 0 0 0 0 1.0 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 1.5 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.0 n 1 0 0 0 0 2.5 n 1 0 0 0 0 2.5 n 1 0 0 0 0 3.0 n 1 0 0 0 0 3.0 n 1 0 0 0 0 3.0 n 1 0 0 0 0 3.5 n 1 0 0 0 0 3.5 n 1 0 0 0 0 4.0 n 1 0 0 0 0 4.5 n 1 0 0 0 0 10.0 n 1 0 0 0 0 1.0 md 0 1 0 0 0 3.0 md 0 1 0 0 0 3.5 md 0 1 0 0 0 4.0 md 0 1 0 0 0 10.0 md 0 1 0 0 0 12.5 md 0 1 0 0 0 14.0 md 0 1 0 0 0 15.0 md 0 1 0 0 0 17.5 md 0 1 0 0 0 18.0 md 0 1 0 0 0 20.0 md 0 1 0 0 0 21.0 md 0 1 0 0 0 24.5 md 0 1 0 0 0 25.0 md 0 1 0 0 0 1.0 bd 0 0 1 0 0 1.0 bd 0 0 1 0 0 one-way anova models 1 1.5 bd 0 0 1 0 0 2.0 bd 0 0 1 0 0 2.5 bd 0 0 1 0 0 2.5 bd 0 0 1 0 0 5.5 bd 0 0 1 0 0 0.5 s 0 0 0 1 0 0.5 s 0 0 0 1 0 1.0 s 0 0 0 1 0 1.0 s 0 0 0 1 0 1.0 s 0 0 0 1 0 1.0 s 0 0 0 1 0 1.5 s 0 0 0 1 0 1.5 s 0 0 0 1 0 1.5 s 0 0 0 1 0 2.0 s 0 0 0 1 0 2.5 s 0 0 0 1 0 2.5 s 0 0 0 1 0 5.5 s 0 0 0 1 0 11.2 s 0 0 0 1 0 0.9 a 0 0 0 0 1 1.3 a 0 0 0 0 1 1.5 a 0 0 0 0 1 4.8 a 0 0 0 0 1 One-way anova model (regression with indicator variables) asbdmdn 25 20 15 10 5 0 diagnosis Y ( co rt is ol ) Regression Analysis The regression equation is Y (cortisol) = 2.37 + 11.1 I(major Dep) - 0.09 I(bipolar Dep) + 0.00 I(Schizoph) - 0.25 I(atypical) Predictor Coef StDev T P Constant 2.3710 0.7297 3.25 0.002 I(major 11.129 1.308 8.51 0.000 one-way anova models 2 0.5 0.0-0.5-1.0 99 95 90 80 70 60 50 40 30 20 10 5 1 Data P er ce nt StDev: Mean: 0.298653 -9.2E-17 Normal Probability Plot for RESI2 one-way anova models 5 Y in anova model One-Way Analysis of Variance Analysis of Variance for Y (corti Source DF SS MS F P diagnosi 4 1394.4 348.6 21.12 0.000 Error 65 1072.8 16.5 Total 69 2467.3 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ----+---------+---------+---------+-- n 31 2.371 1.668 (--*--) md 14 13.500 8.136 (---*---) bd 7 2.286 1.551 (------*-----) s 14 2.371 2.838 (----*---) a 4 2.125 1.801 (-------*-------) ----+---------+---------+---------+-- Pooled StDev = 4.063 0.0 5.0 10.0 15.0 Tukey's pairwise comparisons Family error rate = 0.0500 Individual error rate = 0.00660 Critical value = 3.97 Intervals for (column level mean) - (row level mean) n md bd s md -14.801 -7.457 bd -4.687 5.935 4.858 16.494 s -3.673 6.818 -5.365 3.672 15.439 5.194 a -5.813 4.909 -6.988 -6.219 6.305 17.841 7.309 6.712 log(Y) in anova model One-Way Analysis of Variance Analysis of Variance for logt(y) Source DF SS MS F P diagnosi 4 5.9370 1.4843 15.68 0.000 Error 65 6.1543 0.0947 Total 69 12.0914 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ---+---------+---------+---------+--- one-way anova models 6 n 31 0.3142 0.2126 (--*--) md 14 0.9965 0.4233 (---*----) bd 7 0.2876 0.2606 (-----*------) s 14 0.2009 0.3685 (----*---) a 4 0.2314 0.3141 (--------*-------) ---+---------+---------+---------+--- Pooled StDev = 0.3077 0.00 0.35 0.70 1.05 Tukey's pairwise comparisons Family error rate = 0.0500 Individual error rate = 0.00660 Critical value = 3.97 Intervals for (column level mean) - (row level mean) n md bd s md -0.9605 -0.4042 bd -0.3349 0.3090 0.3880 1.1087 s -0.1649 0.4691 -0.3131 0.3914 1.1221 0.4866 a -0.3761 0.2754 -0.4852 -0.5202 0.5417 1.2548 0.5977 0.4593 one-way anova models 7