Chapter 7/8 - Hypothesis Testing Flashcards
The average on the test was 27.93/42 (66.5%) with a standard deviation of 5.8 points (the median was 69%).
Test Midterm #1
where to find z-scores not at exactly 0 or -1 or -2 or +1 or +2.
The in-between scores!
EXAMPLE #1:
EXAMPLE #2
the 1-tail and 2-tail hypothesis testing:
Explaining why we need to do Hypothesis Testing in the first place.
The ASSUMPTIONS:
THE 6 STEPS for doing a Hypothesis testing:
STEP 1: ASSUMPTIONS, POP., SAMPLE?
STEP 2: STATE THE HYPOTHESIS
STEP 3: MEAN, STANDARD DEVIATION
STEP 4 : FIGURE OUT CRITICAL VALUES
STEP 4: 2-TAILED HYPOTHESIS
STEP 4: 1-TAILED HYPOTHESIS
STEP 5: CALCULATE Z-SCORE
STEP 6: DECISION
Ex #2 : Z-TESTING
Ex #2 :Step 1
Ex #2 - Step 2
Ex #2 - Step 3
Ex #2 : Step 4
Ex #2: Step 5
Ex #2 : Step 6
P-HACKING:
Manipulating data or analyses to artificially get significant p-values.
WHEN analyses are being chosen based on what makes the p-value significant, not what’s the best analysis plan.
- to calculate the p-value, we look at the Null Hypothesis
- In the Null Hypothesis Significance Testing (NHST) Framework, we either reject or fail to reject the Null.
- This is a Binary Decision. This leads to 4 possible scenarios:
Confidence Intervals:
The range of scores contained in a 90% confidence interval will THIS the range of scores contained in a 95% confidence interval.
a) larger than
b) smaller than
c) the same size as
d) smaller than or the same size as
B) smaller than
What if we could remove the sample size from the equation?
Yes, this is possible with Cohen’s d estimating the effect size
What it measures: How many standard deviations above or below the Null Hypothesis your value lies.
Helpful because it allows standardization across studies. Since the value will be the same no matter how many participants are in the study.
Remember, Cohen’s
Because effect size is not affected by the sample size, there are only 2 things that will affect the value
- Difference between the MEANS
- Effect size depends on the VARIABILITY in the populations
QQQQQQQ- what does this slide mean?
Why use STATISTICAL POWER?
Let’s say there’s a new drug and the pharm company wants to know if there is a difference with the drug (will it improve symptoms).
What is the probability that I will reject the Null Hypothesis (if my theory is right and symptoms improve)?
to answer this question: look at the statistical power, which is the likelihood we will reject the Null if the null hypothesis is false
1 of 5 factors that INCREASE POWER:
2 of 5 factors that INCREASE POWER:
3 & 4 factors that INCREASE POWER:
5 of 5 factors that INCREASE POWER: