TOST Paired Samples T-Test — dataTOSTpaired • TOSTER

TOST Paired Samples T-Test in jamovi. This function is not meant to be utilized in R. See t_TOST function.

dataTOSTpaired(
  data,
  pair1,
  pair2,
  hypothesis = "EQU",
  low_eqbound = -0.5,
  high_eqbound = 0.5,
  eqbound_type = "raw",
  alpha = 0.05,
  desc = FALSE,
  plots = FALSE,
  low_eqbound_dz = -999999999,
  high_eqbound_dz = -999999999,
  indplot = FALSE,
  diffplot = FALSE,
  smd_type = "g"
)

Arguments

data: the data as a data frame
pair1: A string naming the first part of the pair
pair2: A string naming the second part of the pair
hypothesis: 'EQU' for equivalence (default), or 'MET' for minimal effects test, the alternative hypothesis.
low_eqbound: a number (default: 0.5) the lower equivalence bounds
high_eqbound: a number (default: 0.5) the upper equivalence bounds
eqbound_type: 'SMD' (default) or 'raw'; whether the bounds are specified in standardized mean difference (Cohen's dz) or raw units respectively
alpha: alpha level (default = 0.05)
desc: TRUE or FALSE (default), provide descriptive statistics
plots: TRUE or FALSE (default), provide plots
low_eqbound_dz: deprecated
high_eqbound_dz: deprecated
indplot: TRUE or FALSE (default), provide plot of paired data.
diffplot: TRUE or FALSE (default), provide plot of difference scores.
smd_type: 'd' (default) or 'g'; whether the calculated effect size is biased (d) or bias-corrected (g).

Value

A results object containing:

`results$text`					a html
`results$tost`					a table
`results$eqb`					a table
`results$effsize`					a table
`results$desc`					a table
`results$plots`					an image
`results$indplot`					an image
`results$diffplot`					an image

Tables can be converted to data frames with asDF or as.data.frame. For example:

results$tost$asDF

as.data.frame(results$tost)

References

Mara, C. A., & Cribbie, R. A. (2012). Paired-Samples Tests of Equivalence. Communications in Statistics - Simulation and Computation, 41(10), 1928-1943. formula page 1932. Note there is a typo in the formula: n-1 should be n (personal communication, 31-08-2016)

Examples

# \donttest{
library("TOSTER")

dataTOSTpaired(data = randu, pair1 = "x", pair2="y", low_eqbound = -0.3,
               high_eqbound = 0.3, alpha = 0.05, desc = TRUE, plots = TRUE)
#> 
#>  TOST PAIRED SAMPLES T-TEST
#> 
#>  Hypothesis Tested: Equivalence
#> 
#>  Null Hypothesis: -0.3 >= (Mean1 - Mean2) or (Mean1 - Mean2) >= 0.3
#>  Alternative: -0.3 < (Mean1 - Mean2) < 0.3
#>  &#10060 NHST: don't reject null significance hypothesis that the
#>  effect is equal to zero
#>  &#9989 TOST: reject null equivalence hypothesis
#> 
#>  Note: SMD confidence intervals are an approximation. See our <a
#>  href="https://aaroncaldwell.us/TOSTERpkg/articles/SMD_calcs.html">documentation.
#> 
#>  TOST Results                                                
#>  ─────────────────────────────────────────────────────────── 
#>                            t             df     p            
#>  ─────────────────────────────────────────────────────────── 
#>    x    y    t-test         -1.926957    399     0.0546948   
#>              TOST Lower     12.390550    399    < .0000001   
#>              TOST Upper    -16.244464    399    < .0000001   
#>  ─────────────────────────────────────────────────────────── 
#> 
#> 
#>  Equivalence Bounds                           
#>  ──────────────────────────────────────────── 
#>                     Low           High        
#>  ──────────────────────────────────────────── 
#>    Hedges's g(z)    -0.7158754    0.7158754   
#>    Raw              -0.3000000    0.3000000   
#>  ──────────────────────────────────────────── 
#> 
#> 
#>  Effect Sizes                                                    
#>  ─────────────────────────────────────────────────────────────── 
#>                     Estimate       Lower          Upper          
#>  ─────────────────────────────────────────────────────────────── 
#>    Raw              -0.04037624    -0.07492167    -0.005830804   
#>    Hedges's g(z)    -0.09625725    -0.21574952     0.022847794   
#>  ─────────────────────────────────────────────────────────────── 
#> 
#> 
#>  Descriptives                                                      
#>  ───────────────────────────────────────────────────────────────── 
#>         N      Mean         Median       SD           SE           
#>  ───────────────────────────────────────────────────────────────── 
#>    x    400    0.5264293    0.5407880    0.2850121    0.01425060   
#>    y    400    0.4860531    0.4833785    0.2937179    0.01468590   
#>  ───────────────────────────────────────────────────────────────── 
#> 

# }