Agreeableness Score

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The purpose of this investigation is to determine if there is a difference between the median agreeableness score of females to the median agreeableness score of males according to data collected from the results of people who chose to take the Big 5 Personality test on a publicly accessible site.
I chose to investigate the agreeableness score because when I took the online personality test this is the trait in which I scored the highest on so I was interested in
The data is sourced from the online “Big 5 Personality Test” and is a random sample from the results from people who chose to take the test on a publicly accessible website.
The agreeableness score is the score of agreeableness on a scale from 1 to 5 points where 1 is the least agreeable and 5 is the most agreeable. The gender is either male or female.
I have chosen to use the median as it is a more accurate representation of the population because the mean could be skewed by extreme values.
I will be analysing a sample of 491 randomly selected results of participants of the Big 5 test. I have noticed that both of my groups a relatively similar size with 248 females and 243 males.
I will analyse this sample using iNZight to produce the data displays and the bootstrap confidence interval for which I will make an inference about the population of participants who took the online Big 5 personality test.
Research:
The Big 5 personality test is a test which analyses the big 5 personality traits which is used as a model of personality. The 5 traits are extraversion, conscientiousness, neuroticism, openness, agreeableness and I have chosen to investigate agreeableness.
Agreeableness reveals the difference between individuals concern regarding cooperation and social harmony. ...

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... by doing a randomisation test for the samples. This involves mixing the two samples and then splitting them back into two groups, which are the same size as the original groups but both of the two groups will contain male and female agreeableness score. The randomisation test will resample the new groups 1000 times and plot the difference between the medians of the two mixed groups.
Out of the 1000 differences that were produced just by sampling variation, none were as large as the difference of 0.4 points produced by the two samples. This shows that a difference of 0.4 or larger is very unlikely to be produced by sampling variation alone when there is no link between the agreeableness score and gender. I can safely conclude that the data provides strong evidence that the median agreeableness score of females is greater than the median agreeableness score of males.

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