Distribution follows a theoretical distribution

A notebook made by Paul Amat, amat-design.com

Context and objectives

Is the distribution of subjects in different categories faithful to a theoretical distribution?

Research hypothesis

Statistical hypothesis

H0:

H1:

Data preparation and exploration

Starting session

library(readr)
data <- read_csv("data.csv", show_col_types = FALSE)

Proportion tables

round(prop.table(table(data$profil)), 1) # ok jamovi

 Athletic   Dreamer Scientist 
      0.5       0.4       0.1 

Parametric test

Test

test <- chisq.test(table(data$profil), correct = F) # ok in jamovi
test

    Chi-squared test for given probabilities

data:  table(data$profil)
X-squared = 45.28, df = 2, p-value = 1.471e-10

Conditions

Independent observations

The independence of observations is guaranteed by the recruitment process.

More than 5 observations in each combination of theoretical frequencies

all(test$expected > 5)

[1] TRUE

Effect size

Power analysis

Finding power

Finding N

Results and recommendations