Question: Please respond to this discussion below T-test and ANOVA which stands for Analysis of Variance are statistical methods used in the testing of hypothesis for

Please respond to this discussion below

Please respond to this discussion below T-test and ANOVA which stands for

T-test and ANOVA which stands for "Analysis of Variance" are statistical methods used in the testing of hypothesis for comparison of means between the groups. The t-test is used to compare the means between two groups, whereas ANOVA is used to compare the means among three or more groups. Examples of use ANOVA: Retail stores are often interested in understanding whether different types of promotions, store layouts, advertisement tactics, etc. lead to different sales; Medical researchers are often interested in whether or not different medications affect patients differently; Environmental Sciences researchers are often interested in understanding how different levels of factors affect plants and wildlife. We use ANOVA as opposed to t-Tests to determine the mean differences because every time we conduct a t-test there is a chance that we will make a Type I error. This error is usually 5%. By running two t-tests on the same data we will have increased your chance of "making a mistake" to 10%. The formula for determining the new error rate for multiple t-tests is not as simple as multiplying 5% by the number of tests. However, if we are only making a few multiple comparisons, the results are very similar if we do. As such, three t-tests would be 15% and so on. These are unacceptable errors. An ANOVA controls for these errors so that the Type I error remains at 5% and we can be more confident that any statistically significant result we find is not just running lots of tests. I personally think the t-test is easier if I just need to compare two groups. But if I need to compare three or more groups, then ANOVA is more accurate and time-consuming. Reply

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