Understanding Statistical Methods: Analyzing Inferential Statistics, NHST, F-Ratios, and Experimental Designs

Analysis of statistical methods including NHST, F-ratios, and experimental design.

Andrew Taylor
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Understanding Statistical Methods: Analyzing Inferential Statistics, NHST, F-Ratios, and Experimental DesignsWeek 2 SolutionInferential Statistics2. Whatare degrees of freedom? How are they calculated?Answer: The degree of freedoms is equal to the number of independent observation or the number ofsubjects in the data, minus the parameters estimated. A parameter to be estimated is related to thevalue of an independent variableand included in a statistical equation. A researcher may estimateparameters using different amounts or pieces of information and the number of independent pieces ofinformation he or she used to estimate statistic or a parameter is called the degree of freedom.Calculation:Step 1Determine what type of statistical test I need to run. Both t-tests and chi-squared tests usedegrees of freedom and have distinct degrees of freedom tables. T-tests are used when thepopulation or sample has distinct variables. Chi-squared tests are usedwhen the population orsample has continuous variables. Both tests assume normal population or sample distribution.Step 2Identify how many independent variables I have in my population or sample. If I have a samplepopulation of N random valuesthen the equation has N degrees of freedom. If my data setrequired me to subtract the mean from each data point--as in a chi-squared test--then I will haveN-1 degrees of freedom.Step 3Look up the critical values for my equation using a critical value table. Knowing the degrees offreedom for a population or sample does not give me much insight in of itself. Rather, the correctdegrees of freedom and my chosen alpha together give me a critical value. This value allows meto determine the statistical significance of my results.3. Whatdo inferential statistics allow you to infer?Answer:Inferential statistics is concerned with making predictions or inferences about apopulation from observations and analyses of a sample. That is, we can take the results of ananalysis using a sample and can generalize it to the larger population that the sample represents.

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