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CHAPTER QUANTITATIVE DATA ANALYSIS TESTING HYPOTHESES ABOUT THE MEAN VALUE CHAPTER QUANTITATIVE DATA ANALYSIS - TESTING HYPOTHESES ABOUT THE MEAN VALUE • In the case of the mean should be compared to a certain study criteria between two objects or many objects we use hypothesis testing on the mean value To perform this verification, we need to have two variables: one or more quantitative variables to calculate the average value, a qualitative variable used to divide the comparison group Compare Means • This method is to calculate the average value in small groups and provide statistical data related to the dependent variable within the group of one or more independent variables Compare Means • Performed with SPSS Analyze\ Compare Means\ Means… Compare Means Quantitative variables Quatitative variables Compare Means Check: Anova table and eta or Test for linearity Compare Means Compare Means • Add a qualitative variable (grouping variables) Add a qualitative variable Compare Means • Add a qualitative variable (grouping variables) Test "ANOVA" many factors • Analyze\ General linear model\ Univariate Characteristics: analysis of the relationship between a dependent variable and multiple variable factors (qualitative) Test "ANOVA" many factors • Analyze\ General linear model\ Univariate Model for the study: Y = + A + B + AB + In which: Y: The value of the dependent variable : Average overall A: Effects of fixed or random factor A to Y B: Effects of fixed or random factor B to Y AB: Effects of interaction between two factors AB : residuals Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate For example, research on the value of the average platelet (1000/mm3) of groups of patients (fever, dengue, viral fever) in terms of blood tests early or late Figures are as follows: Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Univariate fever= Groups of patients dengue= viral fever= Early = 100 120 140 140 240 80 100 120 130 130 100 160 200 220 230 Late = 90 90 150 160 170 20 30 40 70 80 120 140 150 170 210 Blood tests Test "ANOVA" many factors • Analyze\ General linear model\ Multivariate Characteristics: Analysis of the relationship between the dependent variable and much more variable factors (qualitative) Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Multivariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Multivariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Multivariate Test "ANOVA" many factors • Performed with SPSS Analyze\ General linear model\ Multivariate Test "ANOVA" many factors • Analyze\ General linear model\ Multivariate For example Research on the height and age of the 18 students from urban areas (1), and 14 students from rural areas (2) as follows: The question is there any difference in height and age between students in two different areas? Analyze\ General linear model\ Multivariate id 10 11 12 13 14 15 16 17 18 area age (month) Height (cm) 109 137.6 113 147.8 115 136.8 116 140.7 119 132.7 120 145.4 121 135 124 133 126 148.5 129 148.3 130 147.5 133 148.8 134 133.2 135 148.7 137 152 139 150.6 141 165.3 142 149.9 area age (month) Height (cm) 121 139 121 140.9 128 134.9 129 149.5 131 148.7 132 131 133 142.3 134 139.9 138 142.9 138 147.7 138 147.7 140 134.6 140 135.8 140 148.5 ... 120 15 The variance of the difference: 2 2 2 15 15? ?? 20 15? ?? 15 15? ?? 20 15? ?? 30 15? ?? 20 15? ?? SD 107.2 d 7 Sd 107.2 10. 35 Ta có : T d 15 4.09 SD 10. 35 n... 1 45 150 1 45 150 1 65 170 1 45 1 35 1 45 150 130 130 1 35 150 15 20 0 15 20 30 20 Compare Means\ Paired-Samples T Test… Hypothesis H0: There is no difference between the blood pressure before treatment... For example : Treatment of patients with medication lower blood X, the results before and after the treatment as follows (mmg): Before treatment After treatment Difference 160 155 1 45 150 145
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