Minimum-effect tests using observations and known measurement error

observations_MET(
  observations,
  observations_label = NULL,
  measurement_error = 0,
  df = Inf,
  SESOI_lower = 0,
  SESOI_upper = 0,
  alpha = 0.05,
  confidence = 0.95
)

Arguments

observations

Numeric vector of observed scores

observations_label

Vector used for labeling observations. Default is NULL

measurement_error

Estimated SD of the random error. Default is 0

df

Degrees of freedom from the reliability study where measurement_error is estimated. Default is Inf, which implies the use of normal distribution

SESOI_lower

Lower smallest effect size of interest threshold

SESOI_upper

Upper smallest effect size of interest threshold

alpha

Numeric value for the alpha (Type I error). Default is 0.05

confidence

Default is 0.95

Examples

data("bench_press_data") obs_MET <- observations_MET( bench_press_data$Change, SESOI_lower = -5, SESOI_upper = 5, measurement_error = 2.5, alpha = 0.05 ) obs_MET
#> observations lower not_higher equivalent not_lower higher #> 9.6222678 1.00000000 9.677644e-01 0.96776439 2.474066e-09 3.223561e-02 #> 6.1801881 0.99999613 6.815635e-01 0.68156346 3.873208e-06 3.184365e-01 #> 19.6899323 1.00000000 1.000000e+00 1.00000000 0.000000e+00 2.101835e-09 #> 10.8735189 1.00000000 9.905983e-01 0.99059834 1.080729e-10 9.401656e-03 #> 12.2982329 1.00000000 9.982459e-01 0.99824587 2.269518e-12 1.754131e-03 #> -2.6025745 0.83121312 1.178852e-03 0.16878688 1.687869e-01 9.988211e-01 #> 8.2820611 0.99999995 9.053789e-01 0.90537894 5.396951e-08 9.462106e-02 #> 3.0095053 0.99932187 2.129585e-01 0.21295852 6.781283e-04 7.870415e-01 #> 15.3398118 1.00000000 9.999823e-01 0.99998232 2.220446e-16 1.767640e-05 #> -6.1075508 0.32887552 4.435239e-06 0.67112448 6.711245e-01 9.999956e-01 #> -3.8025928 0.68401748 2.149312e-04 0.31598252 3.159825e-01 9.997851e-01 #> -8.9126136 0.05878613 1.310421e-08 0.94121387 9.412139e-01 1.000000e+00 #> 13.8739789 1.00000000 9.998071e-01 0.99980709 2.187139e-14 1.929146e-04 #> -3.0666450 0.78034000 6.262253e-04 0.21966000 2.196600e-01 9.993738e-01 #> 0.8835901 0.99069960 4.982385e-02 0.04982385 9.300404e-03 9.501761e-01 #> 3.0047083 0.99931734 2.124014e-01 0.21240140 6.826614e-04 7.875986e-01 #> 11.5395680 1.00000000 9.955494e-01 0.99554942 1.847400e-11 4.450580e-03 #> 11.7700013 1.00000000 9.966155e-01 0.99661550 9.865442e-12 3.384496e-03 #> 10.8365930 1.00000000 9.902188e-01 0.99021881 1.189502e-10 9.781191e-03 #> -2.0290025 0.88266188 2.464781e-03 0.11733812 1.173381e-01 9.975352e-01 #> inference #> Higher #> Not lower #> Higher #> Higher #> Higher #> Not higher #> Not lower #> Not lower #> Higher #> Not higher #> Not higher #> Not higher #> Higher #> Not higher #> Equivalent #> Not lower #> Higher #> Higher #> Higher #> Not higher
plot(obs_MET)