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Answer questions Minimum 100 words each and reference (questions #1-4) KEEP questions WITH ANSWER PLEASE ANSWER ALL THE QUESTIONS IN FULL DETAIL
1. Please illustrate a specific example of a One-way between subjects ANOVA and explain briefly why it is.
2. What is the difference between a 2-Way ANOVA test and 1-Way ANOVA test? Please illustrate with an example of each.
3. Check this link out and summarize http://www.graphpad.com/guides/prism/6/statistics/index.htm?stat_fishers_lsd.htm
4. What is post hoc analysis and how does it relate to Tukey's HSD Test?
A minimum of 75 words each question and References (IF NEEDED)(Response #1 – 6) KEEP RESPONSE WITH ANSWER
Make sure the Responses includes the Following: (a) an understanding of the weekly content as supported by a scholarly resource, (b) the provision of a probing question. (c) stay on topic
1) ANOVA is a technique used to compare the means of more than two populations. The two ways to select independent samples would be experiment and Quasi-experimental. Quasi-experimental is when a sample is selected from two or more populations (Privitera, 2017). Experimental is when one sample is selected from the same population and participants are randomly assigned in the sample to two or more groups (Privitera, 2017). The difference between experimental and quasi-experimental is that one has probability samples while the other involves non-probability samples.
2) The two ways to select independent samples for an experiment using a one-way between-subjects ANOVA are the quasi-experimental method and the experimental research method. “The quasi-experimental method is a research design that includes a sample from two or more populations, does not have a comparison group and could also include a factor that is considered to be pre-existing. With a pre-existing factor present, the differences are already in existence within the levels of factor and cannot be manipulated or created” (Privitera, 2017 p 367).
“The experimental research method includes selecting one sample from the same population and randomly assigning participants into two or more groups. This research design includes randomization, manipulation and a control or comparison group” (Privitera, 2017 p 368). Since this design is based on randomization and does not include pre-existing factors, differences could be created or manipulated since the difference does not already exist. Depending on which method is used to select the independent samples will determine how they are affected and ultimately calculated out.
3) Accoerding to the text the two ways we can select independent samples for an experiment using a one- way between subject Anova is through understanding that one can select from two or more populations commonly using sample quasiexperiment. With this method you do not have to compare groups or include preexisting factors. Thus, each way can be used between- subject ANova when it is computed. Another way to select independent samples is through selecting one sample from its current population and randomly assigning commonly used experimental methods
4) Fischer LSD A tool to identify which pairs of means are statistically different, which helps to test the hypothesis. With Fisher LSD the difference is that the t tests can't be performed unless the overall F-ratio is statistically significant. There is only a 5% chance of that the overall F ratio will reach statistical significance when there are no differences. Tukey's HSD purpose is to figure out which groups differ. It uses the “Honest Significant Difference,” a number that represents the distance between groups, to compare every mean. Tukey uses the studentized range statistic table to measure the df. In this case if by using the studentized range and the degrees of freedom, to find all possible pair of means if the difference is not significant over the critical value then the null hypothesis is retained. Fisher LSD computes the pairwise comparison then finding the critical t value and from this make a decision if not over the .05%
5) The Fisher’s (LSD) least significant difference test is done with t value the same as the Duncans MRT is done with Q values. This is considered a “post hoc test.” LSD analysis of variance when the F-ratio suggests rejection of the null hypothesis. That is when the difference between the population mean is significant. This test helps identify the populations whose mean are statistically different. A one way or two-way analysis of variance if the null hypothesis is rejected.
