PSY 7864-PSY7864 Unit 10 Assignment

PSY 7864-PSY7864 Unit 10 Assignment ONE-WAY ANOVA TEST 2 One-Way ANOVA Test In the field of statistics there are many tests performed in order to analyze different data sets. Each test is designed to interpret information given differently for in order to analyze different aspects of the data set. An ANOVA is one test that is commonly used in the field of statistics. The ANOVA tests according to Warner (2013) an ANOVA is used to identify part of the individual score that is within the group membership, as well as the part of the score that is not associated with the group membership. For a further look in how the ANOVA works the section and quiz3 will be used from the set. Section 1: Data File Description The following data is received from sample SPSS data set with the variables being represented by a teacher’s recording of the performances and demographics of a group of students. The variables in which are being analyzed are the section and quiz3 variables given by the SPSS data set. The sample size of the data set is 105 (N=105), which is then broken down into three separate sections. These sections are labeled as 1,2, and 3 with sections 1 and 3 having 33 students and section 2 involving 39 students. When it comes to the variables the section variable is going to act as the predictor variable because it does not represent a quantitative value and being a nominal scale of measurement. With that the quiz3 variable will be acting as the outcome variable and with a true value of zero, will be a ratio scale of measurement. The true value of zero with the outcome variable is being based on it being the lowest score a student could receive on quiz3. These two variables will be used together in order to create analytical data for ANOVA. Section 2: Testing Assumptions Before the ANOVA test is performed it is important to identify an assumption that may come along with the test. According to Warner (2013) there are three assumptions with the ONE-WAY ANOVA TEST 3 ANOVA test that need to be addressed. Within the first assumption the independence needs to be determined. This per Warner (2013) means that there is no existing relationship with the observation in or between each group. The next assumption that needs to be looked at is that there are no significant outliers. This means that all single points should fall within the trend with no points too far from the rest of the group. Lastly the assumption that needs to be addressed stated from Warner (2013) is that the dependent variable is normally distributed. This allows for a normal curve to be seen. Figure 1.1: SPSS histogram of quiz3. In figure 1.1 the histogram is showing the results for quiz3. Within the histogram the data shows that there is a standard deviation of 1.6, a mean of 7.13, and N=105. The histogram is also showing that the tail is not skewed in either direction and scaled almost evenly. Meaning that the ONE-WAY ANOVA TEST 4 distribution appears to be normal. Howev