One-Way ANOVA with Post-Hoc Tukey and Plain-English Interpretation

Usage

anova_interpret(formula, data, conf.level = 0.95, context = NULL)

Arguments

formula: A formula of the form outcome ~ group
data: A data frame containing the variables
conf.level: Confidence level. Default 0.95
context: Optional description of the study design or sampling method, echoed back in the printed report. Default NULL.

Value

An object of class statease_anova containing ANOVA results, effect size, and post-hoc comparisons. Use print() to display the formatted report.

Examples

df <- data.frame(
  score = c(23,45,12,67,34,89,56,43,78,90,11,34),
  group = rep(c("A","B","C"), each = 4)
)
result <- anova_interpret(score ~ group, data = df)
#> Warning: One or more groups have small sample sizes (n < 10). Interpret with caution.
print(result)
#> 
#> -- statease ANOVA Report -----------------------------------------
#>   Outcome      : score
#>   Group        : group  (3 levels)
#> -----------------------------------------------------------------
#>   Group Means:
#>     A            : Mean = 36.75  (n = 4)
#>     B            : Mean = 55.50  (n = 4)
#>     C            : Mean = 53.25  (n = 4)
#> -----------------------------------------------------------------
#>   F-statistic  : 0.494
#>   df           : 2, 9
#>   p-value      : 0.6260
#>   Eta squared  : 0.0988 (moderate effect)
#> -----------------------------------------------------------------
#>   Assumption Checks:
#>     Normality (Group: A)    : PASSED   (Shapiro-Wilk p = 0.798)
#>     Normality (Group: B)    : PASSED   (Shapiro-Wilk p = 0.522)
#>     Normality (Group: C)    : PASSED   (Shapiro-Wilk p = 0.546)
#>     Equal variances         : PASSED   (Bartlett's p = 0.715)
#> 
#>   NOTE: Assumption checks are diagnostic tools and may be
#>   influenced by sample size and other characteristics of the
#>   data. Passing a check does not prove that an assumption is
#>   satisfied, and a warning does not automatically invalidate
#>   the analysis. Interpret these results alongside your
#>   knowledge of the data.
#> -----------------------------------------------------------------
#>   Interpretation:
#>   The overall ANOVA result is not statistically significant (p = 0.6260 > alpha 0.05).
#>   Group differences explain 9.9% of variance
#>   (eta^2 = 0.0988, moderate effect).
#> 
#>   Post-hoc tests not run (overall result not significant).
#> -----------------------------------------------------------------
#>