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Applying Anova and Nonparametric Test Simulation

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Applying ANOVA and Nonparametric Tests Simulation

As the Quality Assurance Manager for Praxidike Systems, it is my job to make sure delivery is on time and that the clients are satisfied. First I had to decide which type of test to use. In order to be able to use ANOVA you have to make three major assumptions:

1. Errors are random and independent of each other
2. Each population has normal distribution
3. All populations have the same variance

In order to check whether or not the population has a normal distribution, you need to use the chi-square test for goodness of fit. The hypotheses in this case are:

1. H0: The population has a normal distribution.
2. HA: The population does not have a normal distribution.
The outcome was that the test statistic lies outside the acceptance area and you should reject the null hypothesis. As a result, you cannot presume that the population has a normal distribution; you should use the nonparametric Kruskal-Wallis test.

The second objective I learned was that you cannot always use the blocking technique. Blocking allows you to see a treatment effect with a smaller sample. It is difficult to set up blocks and it is necessary to determine if creating the block was worth the effort. When setting up a block, you need to match the variable with two or more factors. This may not always be an option. To find out if the block is optimal, you can calculate the relative efficiency. In the case of this simulation, the block design works the best.

Finally, I learned that a two-way ANOVA with schedule variance as factor A and number of defects as factor B, I would have seen that F test statistics for the row, column, and the interaction are greater that the F critical. That indicates that the null hypotheses for schedule variance, number of defects, and the interaction effect between the two factors are not true. That means there is a difference in the means due to schedule variance, number of defects, and the interaction of schedule variance and number defects.

I have already attempted to apply this information within the workplace. Analyzing our customer service, number of calls, how many residents we have inside the city limits, and response times we can better our overall customer satisfaction.

I completed the simulation twice. The first time was a test run to become familiar with the options and what would happen when choosing different options. The second time through I took more time, weighed the pros and cons, and still made errors. I would recommend more background information from the other "people" given to you in the simulation.

This simulation was very informative. It explained the difference in the ANOVA and Kruskal-Wallis. I found out when you can use the block ANOVA and when it is in your best interest to use a different method. I learned how I can apply what I have learned in everyday life and not just in the classroom.

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