df 2 / 6 121% + Question 2 A study is made of amino acids in the hemolymph of millipedes. For a sample of four males and four females of each of three species, the following concentrations of the amino acid, alanine (in mg/100ml), are determined: Species 1 Species 2 Species 3 Male 21.5 14.5 16.0 19.6 17.4 20.3 20.9 15.0 18.5 22.8 17.8 19.3 Female 14.8 12.1 14.4 15.6 11.4 14.7 13.5 12.7 13.8 16.4 14.5 12.0 You wish to test the hypothesis that: i) There is no difference in mean hemolymph alanine concentration among the three species. ii) There is no difference between females and males in mean hemolymph alanine concentration. ili) There is no interaction between sex and species in the mean concentration of alanine in hemolymph. You chose one statistical test to analyze your data at a= 5% and the output is given below: Descriptive Statistics Dependent VanabinTEST 2.pdf 2 / 6 121% Descriptive Stadsties Dependent Variable: Concentralion Species Sex Mean Sid Deviation Species 1 Female 15 0750 1 23659 Male 21.2000 1.32916 Tota 18.1375 3.48299 Species 2 Female 12.6750 1:32759 16.1750 1.86608 Total 14.4250 2.33345 Species 3 Female 13.7250 1 20934 Male 18.5250 1.83734 Total 16.1250 2.94218 8 Total 13.8250 1.53275 12 Male 18.6333 2.59942 12 Total 16.2292 3.22281 24 Levene's Test of Equality of Error Variances Levena Statistic Concentration Based on Mean 386 5 18 852 Based on Median 348 877 Based on Median and 348 5 13 012 874 with adjusted of Based on trimmed mean 392 18 BAB Tests the null hypothesis that the error variance of the dependent variable is equal across groups a. Dependent variable Concentration b. Design: Intercept - Species + Sex . Species * Sex a) Comment the result of the descriptive analysis. b) Determine the homogeneity of the variances by referring to the output of Levene's test. Explain your conclusion by stating the related statistics value. Type here to search O SunnyTests of Between-Subjects Errects Dependent Variable. Concentration Type Ill Sum Partial Eta Source of Squares Mean Square Big Squared Corrected Model 200.872" 40.174 19 021 000 841 Wilerdept 6321 260 8321.260 2992.903 000 994 Species 55.261 27.630 13 082 000 592 138 720 138.720 65.679 785 Species * Sex 6.891 3.445 1.631 223 153 Error 38 018 18 2.112 Total 6560 150 24 Corrected Total 238 890 23 a. R Squared = 841 (Adjusted R Squared = 7971 c) Interpret the analysis result shown in the output above in two sentences. Explain clearly by stating the related statistics value.Tests of Between-Subjects Errects Dependent Variable. Concentration Type Ill Sum Partial Eta Source of Squares Mean Square Big Squared Corrected Model 200.872" 40.174 19 021 000 841 Wilerdept 6321 260 8321.260 2992.903 000 994 Species 55.261 27.630 13 082 000 592 138 720 138.720 65.679 785 Species * Sex 6.891 3.445 1.631 223 153 Error 38 018 18 2.112 Total 6560 150 24 Corrected Total 238 890 23 a. R Squared = 841 (Adjusted R Squared = 7971 c) Interpret the analysis result shown in the output above in two sentences. Explain clearly by stating the related statistics value.c) Interpret the analysis result shown in the output above in two sentences. Explain clearly by stating the related statistics value. Post Hoc Tests Species Multiple Comparisons Dependent Variable: Concentration Tukey HSD Mean 95% Confidence Interval Difference (1- () Species (J) Species Std. Error Lower Bound Upper Bound Species 1 Species 3.7125 72665 1 8580 5 5670 Species a 2.0125 72665 130 1580 3 8670 Species 2 Species ! -3.7125 72665 5.5670 -1.8580 Species 3 -1 7000 72665 076 3.5545 1545 Species 3 Species 1 2.0125. 72665 030 3 8670 -1580 Species.2 1.7000 72665 17 6 -1545 3 6545 Based on observed means The error term is Mean Square(Erron) = 2:112 . The mean difference is significant at the ,05 level Homogeneous SubsetsHomogeneous Subsets Concentration Tukey HSDb Subset Species in 2 Species 2 8 14.4250 Species 3 8 16.1250 Species 1 18.1375 Sig 1076 1.000 Means for groups in homogeneous subsets are displayed Based on observed means The error term is Mean Square (Error) = 2 112 a Uses Harmonic Mean Sample Size = 8.000 b Alpha = 05 d) Comment on the result of multiple comparisons and homogenous subset. Explain clearly by stating the related statistics valueHomogeneous Subsets Concentration Tukey HSDb Subset Species in 2 Species 2 8 14.4250 Species 3 8 16.1250 Species 1 18.1375 Sig 1076 1.000 Means for groups in homogeneous subsets are displayed Based on observed means The error term is Mean Square (Error) = 2 112 a Uses Harmonic Mean Sample Size = 8.000 b Alpha = 05 d) Comment on the result of multiple comparisons and homogenous subset. Explain clearly by stating the related statistics value