## Research into statistical validity for the self-reporting test

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• Questions to find answers to:

• What kind of result would a null hypothesis give?
• What is the alternate hypothesis?
• What kind of result would support the alternate hypothesis?
• What is the probability that a null hypothesis would give a result which would support the alternate hypothesis?

If the probability of the null hypothesis for a result is below 5% then the result is statistically significant and the null hypothesis can be rejected. That doesn’t mean that the alternate hypothesis is true though.

What to do:

1. Calculate probability that a null hypothesis would give a trait score.
2. Calculate probability that a null hypothesis would give a type score.

How to do it:

1. Calculate probability that a null hypothesis would give a trait score.

• Determine distribution of random answers and trait score. No assumptions.

2. Calculate probability that a null hypothesis would give a type score.

• Determine distribution of random answers and type score. No assumptions.
• Determine distribution of random random trait scores and type score. Assumes: 1. People make 75% correct answers. 2. Questions for a trait is correlated.
• Determine distribution of random trait + inverted trait and type score. Assumes: 1. People make 75% correct answers. 2. Questions for a trait is correlated. 3. Questions for a trait and it’s inverted trait is anti-correlated.

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