Mathematica Functions - hypothesis tests

  1. One variable
    1. Interval variable type
      1. n is greater than or equal to 30 - A or B
      2. n is less than 30  - C or D
    2. Proportions, n is greater than 30 - not available
  2. Two variables
    1. Interval variable type
      1. Equal variances, n is greater than or equal to 30 - E or F
      2. Equal variances, n is less than 30 - G or H
      3. Unequal variances, n is less than 30 - I or J
    2. Proportion, n is greater than 30 variable type - not available

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)