PSYCHOLOGY STATISTIC

Psychology Statistic SPSS Assignment

Psychology Statistic SPSS Assignment

Question 1

Part A

There are two variables that can be identified in this experiment. The first variable incorporated in the experiment is the effect of fruit supplement and the second variable of the experiment is the execution of the cognitive task. The research through this experiment wants to explore the effect of supplements extracted from different fruits on the cognitive tasks assigned to the sample of the study. Hence, this study is based on the variable prescribed above.

Part B

The analysis of the data through t-test requires the before and after analysis of the data in order to reveal significant outcomes. The t-test analysis of the data requires the analysis that represents the comparison of means that are related to different variables. The analysis through t-test facilitates the comparison of means in order to accept or reject the null hypothesis which states that the means of the variables are equal. In the prescribed data set the application of t-test is not possible as the data does not satisfy the assumptions of t-test and the before and after analysis of the data cannot be executed on the prescribed data.

Part C

The three primary requirements for the one-sample t test to produce accurate results are unbiased sampling, independent observations, and normality. The two assumptions of t-test that are not satisfied in this scenario are independent observations and normality of the data. According to the analysis of the data, it can be interpreted that the researcher wants to explore the effect of fruit supplements on the sample in context of the tasks assigned. This denotes the dependence of one variable on the other; hence, t-test cannot be applied on the data. Nonetheless, the data also lacks normality; hence, one cannot apply t-test.

Part D

Analysis of variance (ANOVA) is a method for decomposing variance in a measured outcome into variance that can be explained, such as by a regression model or an experimental treatment assignment, and variance that cannot be explained, which is often attributable to random error. Using this decomposition into component sums of squares, certain test statistics can be calculated that can be used to describe the data or even justify model selection. ANOVA is not restricted to use with regression models. The concept of decomposing variance can be applied to other models of data, such as an experimental model. ANOVA is generally used with linear regression to assess model selection. When selecting the best model, we seek to strike a balance between goodness of fit and parsimony.

Part E

Despite the violation of the assumptions t-test was applied on the data. While applying t-test on the data the test value was assumed as 11 due to the number being midpoint of the responses recorded. The analysis of the data through t-test reveals that:

t value of the data is 1.434 and the sig revealed through the analysis is greater than 0.05. Hence, it can be interpreted that the results obtained through analysis are ...