Annova III - Research Paper Example

ANOVA III In any ANOVA designs, repeated measures are used when all elements of a given random sample are analysed under varied conditions. In orderto collect the desired statistical information, the dependent variable of the sample is measured repeatedly under the different condition. In a 2 x 3 factorial design, workers of a law firm company are exposed to varying controlled diets and routine exercise to determine the impacts of diet and exercise on pulse rate. The random sample is divided is divided into categories A and B according to their dietary preference.

Category A = meat eaters Category B = vegetarians Each of the two groups is divided into three classes (1, 2, and 3) and assigned a specific exercise as follows. Class 1 = running Class 2 = jogging Class 3 = stair climbing The survey was conducted under the following hypothesis: Ho: The pattern of differences of pulse rate will vary across the two diet groups. This test will be within the subject and it will be used to set up boundary conditions or control for the experiment. HA: The pulse rate of a normal individual depends on the intensity of the exercise.

There will be no any significant variation of pulse rate across the different diet groups. After conducting two sets of experiments under the given boundary conditions, the two sets of data were compiled. Set I PULSE 1 PULSE 2 PULSE 3 DIET 1 112 166 215 A 2 125 177 241 A 3 81 134 205 A Set II PULSE 1 PULSE 2 PULSE 3 DIET 1 112 165 215 B 2 125 177 244 B 3 82 134 205 B 2. From the experiment repeated- measures ANOVA indicated that individual’s pulse rate were independent of their diet (Stevens 121) (Stevens 121).

However, the score indicated a slight dependency on the diet. The variation of pulse rate resulting from diet was within the error margins. The measures indicated a statistical mean of 0.97. Due to the large size of F ratio in this case [F (2, 142) = 377.2, p=0.001] it was appropriate to drop the null hypothesis and conclude that pulse rates depend entirely on intensity of exercise. The conclusion was in accordance to the results of the selected sample of the population. In the second set of results (F (2, 143) = .53, p= 0.59).

This indicates that dietary preference and subjection to different exercise routine does not produce cumulative results. Alternatively, type of exercise and diet do not have an overall effect on the dependent variable (pulse rate). Source: http://www.ats.ucla.edu/stat/sas/library/repeated_ut.htm Quarterly question: what is the meaning of between-subject test? Is there a significant variation in measures of ANOVA values for multivariate and univariate approaches respectively? References Introduction to SAS: Repeated Measures ANOVA Using SAS PROC GLM.

Web 13, July 2012. Stevens, J. (2008). Applied Multivariate Statistics for the Social Sciences, Third Edition, Mahway NJ, Lawrence Erlbaum Associates, Inc.