When do researcher use t score over F score

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Expert Solution

T Test and F Test

A t-test is a statistical hypothesis test, which can be used to accept or reject the null hypothesis. it canT-test analyses can be used when means of two data sets are different from each other, i.e. whether the population mean is equal to or different from the standard mean and also slop of regression line can be identified .

T test can be verified under certain assumptions

Population is infinite

Variance of population is unknown and estimated from sample

Unknown Mean

Observations are random and independent

Comparatively small Sample size

T test can be done by using the formula ( Campare mean and standard diviation of two sample set by )

t = x1-x2 /Square Rout of ( (S1²/n1) + (S2²/n2)

T = Test value of Camparison

X1= Mean of First data set

X2 = Mean of 2nd data set

S1 = Standard diviation of 1st Data Set

S2 = Standerd Diviation of 2nd Data Set

n1 = Size of the first data set

n2 = Size of the second

F-test is also a type of hypothesis test. It is based on f-distribution, under the null hypothesis. The test is performed when it is not known whether the two populations have the same variance.

F test can analyse the linear relation ship between any dependent and independent variable , predictions can be possible from the results . f test value is to be presented in the form of ratio of variance .

F = V1²/V2²

V1 and V 2 are variants ( degrees of freedom )

There are assumptions that Samples are randomely selected

Samples are in equally distributed

Both tests are hyposthesis testing and researcher should deside which should be applicable in his /her research and this test is used to reject or accept the hypothisis

Hayet Jeridi answered 1 year ago

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