Mathematica Functions - hypothesis tests
A. One-tailed Test, univariate, n is greater than or equal to 30
MeanTest[Column[Data,#],D,
KnownVariance
-> Variance[Column[Data,#]],
TwoSided->False,
SignificanceLevel->P,
FullReport
-> True]
B. Two-tailed Test, univariate, n is greater than or equal to 30
MeanTest[Column[Data,#],D,
KnownVariance
-> Variance[Column[Data,#]],
TwoSided->True,
SignificanceLevel->P,
FullReport
-> True]
C. One-tailed Test, univariate, n is less than 30
MeanTest[Column[Data,#],D,
TwoSided->False,
SignificanceLevel->P,
FullReport
-> True]
D. Two-tailed Test, univariate, n is less than 30
MeanTest[Column[Data,#],D,
TwoSided->True,
SignificanceLevel->P,
FullReport
-> True]
E. One-tailed Test, bivariate, n is greater than or equal to 30
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
KnownVariance
-> {Variance[Column[Data1,#]],Variance[Column[Data2,#]] },
TwoSided->False,
SignificanceLevel->P,
FullReport
-> True]
F. Two-tailed Test, bivariate, n is greater than or equal to 30
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
KnownVariance
-> {Variance[Column[Data1,#]],Variance[Column[Data2,#]] },
TwoSided->True,
SignificanceLevel->P,
FullReport
-> True]
G. One-tailed Test, bivariate, n is less than 30, Equal Variances
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
EqualVariances
-> True,
TwoSided->False,
SignificanceLevel->P,
FullReport
-> True]
H. Two-tailed Test, bivariate, n is less than 30, Equal Variances
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
EqualVariances
-> True,
TwoSided->True,
SignificanceLevel->P,
FullReport
-> True]
I. One-tailed Test, bivariate, n is less than 30, Unequal Variances
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
EqualVariances
-> False,
TwoSided->False,
SignificanceLevel->P,
FullReport
-> True]
J. Two-tailed Test, bivariate, n is less than 30, Unequal Variances
MeanDifferenceTest[Column[Data1,#],Column[Data2,#],D,
EqualVariances
-> False,
TwoSided->True,
SignificanceLevel->P,
FullReport
-> True]
Column[Data,#] - column # of data set Data
D - hypothesis value of mu
Variance[Column[Data,#]] - variance of
column # of data set Data
P - p value (significance level)