write a function for nested random factor anova in r

Here is an example of how to write a function for a nested random factor ANOVA in R:

main.r
nested_anova <- function(data, response_var, between_var, within_var, nested_var) {
  require(car)
  
  data$within_between <- interaction(data[,between_var], data[,within_var])
  
  # Nested random factor ANOVA model
  model <- aov(get(response_var) ~ get(nested_var) + Error(get(within_between) / get(nested_var)),data=data)
  
  # ANOVA table
  anova_table <- Anova(model, type=3)
  
  return(anova_table)
}
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In the function, the data argument refers to the data frame containing the variables of interest. response_var, between_var, within_var, and nested_var refer to the names of the variables in the data frame that correspond to the response variable, the between-subjects variable, the within-subjects variable, and the nested variable, respectively.

The function uses the interaction function to create a new variable that combines the levels of the between-subjects and within-subjects variables, which is required for the nested random factor ANOVA model. The function then fits the ANOVA model using the aov function and calculates the ANOVA table using the Anova function from the car package.

You can use this function to perform a nested random factor ANOVA on a dataset by calling the function and passing in the appropriate arguments. For example, if you have a dataset called my_data with a response variable called score, a between-subjects variable called group, a within-subjects variable called time, and a nested variable called participant, you could perform a nested random factor ANOVA using the function like this:

main.r
nested_anova(my_data, "score", "group", "time", "participant")
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This would return the ANOVA table for the nested random factor ANOVA.