os-vartest.md
In inferr: Inferential Statistics

output from one sample variance test is as expected when alternative is less

Code
  ifr_os_var_test(mtcars, mpg, 5, alternative = "less")
Output
                              One-Sample Statistics                             
  -----------------------------------------------------------------------------
   Variable    Obs     Mean      Std. Err.    Std. Dev.    [95% Conf. Interval] 
  -----------------------------------------------------------------------------
     mpg       32     20.0906     1.0654       6.0269        3.8737    10.6527   
  -----------------------------------------------------------------------------

              Lower Tail Test           
              ---------------           
             Ho: sd(mpg) >= 5           
              Ha: sd(mpg) < 5

      Chi-Square Test for Variance      
  -------------------------------------
   Variable       c       DF      Sig       
  -------------------------------------
     mpg       45.042     31     0.9506  
  -------------------------------------

output from one sample variance test is as expected when alternative is greater

Code
  ifr_os_var_test(mtcars, mpg, 5, alternative = "greater")
Output
                              One-Sample Statistics                             
  -----------------------------------------------------------------------------
   Variable    Obs     Mean      Std. Err.    Std. Dev.    [95% Conf. Interval] 
  -----------------------------------------------------------------------------
     mpg       32     20.0906     1.0654       6.0269        3.8737    10.6527   
  -----------------------------------------------------------------------------

              Upper Tail Test           
              ---------------           
             Ho: sd(mpg) <= 5           
              Ha: sd(mpg) > 5

      Chi-Square Test for Variance      
  -------------------------------------
   Variable       c       DF      Sig    
  -------------------------------------
     mpg       45.042     31     0.0494  
  -------------------------------------

output from one sample variance test is as expected when alternative is both

Code
  ifr_os_var_test(mtcars, mpg, 5, alternative = "both")
Output
                              One-Sample Statistics                             
  -----------------------------------------------------------------------------
   Variable    Obs     Mean      Std. Err.    Std. Dev.    [95% Conf. Interval] 
  -----------------------------------------------------------------------------
     mpg       32     20.0906     1.0654       6.0269        3.8737    10.6527   
  -----------------------------------------------------------------------------

               Two Tail Test            
              ---------------           
              Ho: sd(mpg) = 5           
             Ha: sd(mpg) != 5

      Chi-Square Test for Variance      
  -------------------------------------
   Variable       c       DF      Sig    
  -------------------------------------
     mpg       45.042     31     0.0988  
  -------------------------------------

output from one sample variance test is as expected when alternative is all

Code
  ifr_os_var_test(mtcars, mpg, 5, alternative = "all")
Output
                              One-Sample Statistics                             
  -----------------------------------------------------------------------------
   Variable    Obs     Mean      Std. Err.    Std. Dev.    [95% Conf. Interval] 
  -----------------------------------------------------------------------------
     mpg       32     20.0906     1.0654       6.0269        3.8737    10.6527   
  -----------------------------------------------------------------------------

                                  Ho: sd(mpg) = 5

           Ha: sd < 5                Ha: sd != 5                 Ha: sd > 5         
          c = 45.0419                c = 45.0419                c = 45.0419       
       Pr(C < c) = 0.9506       2 * Pr(C > c) = 0.0988       Pr(C > c) = 0.0494