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Assumptions are requirements that need to be met in order for a t-test to be completed. There are three types of assumptions, normality, random sample, and the need for independence of observations. These assumptions are also based on robustness which can be violated, for example, robust means the assumption can be violated but the t-test can still be completed. Whereas, non-robust means that if the assumption is violated, the t-test will not be completed, therefore, the assumption must be met (Corty, 2016).

The normality is an important aspect of assumptions for the t-test, the normality states that the dependent variable reaction time is normally distributed in the population. This type of assumption robustness is deemed robust to violation, but the analysis can be completed if the sample size is larger than 30. For example, in order to check the normality, a histogram with a large sample size can be examined to see if it appears as normally distributed (Corty, 2016).

Another assumption for a t-test is the sample need to be randomly selected from the population. This type of robustness is deemed robust if violated, but the analysis can still be completed. For example, if a researcher selected random depressed adults from a population in Texas to study, in order to use this data as a generalized data, it will need to be only for the state of Texas (Corty, 2016).

Lastly, another assumption for a t-test is the independence of observations, which means cases within the samples do not influence each other. This type of robustness is not robust to violation; therefore, the analysis will not be completed (no t-test will be done). For example, when the researcher is selecting his depressed adults from Texas, each random sample must be used once, and their results and reaction time should not be influenced by another participant. This will produce an assumption that is not robust to violation. However, a violated assumption would be, if the randomly selected participants’ reaction time and analysis influenced each other’s’ results (Corty, 2016).

Reference

Corty, E. (2016). Using and interpreting statistics: A practical text for the behavioral, social, and health sciences (3rd ed.). New York, NY: Macmillan Learning.

Respond to the bold paragraph ABOVE by using one of the option below… in APA format with At least two references and a minimum of 200 words….. .(The List of References should not be older than 2016 and should not be included in the word count.)

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To get maximum points you need to follow the requirements listed for this assignments 1) look at the word/page limits 2) review and follow APA rules 3) create subheadings to identify the key sections you are presenting and 4) Free from typographical and sentence construction errors.

REMEMBER IN APA FORMAT JOURNAL TITLES AND VOLUME NUMBERS ARE ITALICIZED.