Remember that there is a common notation for the number of levels in a factor and...

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Basic Math

Remember that there is a common notation for the number oflevels in a factor and the total number of scores in the entirestudy. Using these symbols, what are the formulas for each of thefollowing:
dftotal= syntax error

dfwithin=
(also known as the denominator degrees of freedom or the error termdegrees of freedom)

dfbetween=
(also know as the numerator degrees of freedom or the treatmentdegrees of freedom)

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In an experiment the factor alsocalled an independent variable is an explanatory variablemanipulated by the experimenter Each factor has two or morelevels ie different values of the factorCombinations of factor levels are calledtreatmentsIn an experimentFactor means thevariability due to the factor of interest Sometimes Factor islabelled as Treatment orBetween to make it clear that it explains thevariation between the groupsError means thevariability within the groups or unexplained random errorSometimes it is labeled as Within to make itclear that it explains the variation within the groupsTotal means thetotal variation in the data from the grand mean that is ignoringthe factor of See Answer

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