Inferential Statistics and Experimental Research Flashcards
INFERENTIAL STATISTICS
INFERENTIAL STATISTICS
Descriptive statistics are used to describe ______ while Inferential statistics are used to make decision about the __________ group based on the information of the ________ group.
- data
- population, sample
In descriptive statistics you use mean (SD) for _________ data and count (percent) for __________ data.
- continuous
- categorical
What is the difference between population and sample?
Population
- contains all subjects of interest
- impractical
- numerical property = parameter (pop mean, proportion)
Sample
- part of selection that s required to be random
- best approach available
- quantity from it = statistic (sample mean, proportion)
Sample selection is required to be ______ but might not be good because random selection doesn’t gaurantee proportional representation of all parts of the population.
random
- The standard deviation of sample means is called what?
- What is the formula for this?
- SEM (standard error of the mean)
- s/sqrt (n) where s=the sample SD and n=sample size
What does the Central Limit Theorem state?
Sampling distribution of the sample means approaches a normal distribution as the sample size gets larger.
The SEM for a smaller sample size is typically _______ than that of a larger sample size. What does this mean?
larger, means there is more variability
What are the 2 common methodologies for inferential statistics?
- Statistical Hypothesis Testing (SHT)
- Confidence Interval (CI)
What are some common uses of inferential statistics?
- estimate population parameters
- compare effects between groups
What are the 4 steps of the procedure for SHT?
- ) State the statistical hypothesis (null and alternative hypothesis)
- ) Select a level of significance (α)
- ) Decide which test to use (t-test, analysis of variance, Mann-Whitney U Test, chi-square test, McNemar test)
- ) Make a decision to reject or retain the null hypothesis based on resulting quantity called p-value
What is the difference between null and alternative hypothesis?
Null Hypothesis
-group means are not different
Alternative Hypothesis
-there is a true difference between groups, and the treatment was effective
What is a p-value?
Major resulting value of running a statistical hypothesis test and quantifies how consistent your sample values are with the null hypothesis.
The p value ranges from 0-1. What does a large p-value mean? What does a small p-value mean?
- Large p-value- your sample values are consistent with the null hypothesis
- Small p-value- your sample values are not consistent with the null hypothesis
For a p-value (α) level <0.05 you _______ the null hypothesis. What does this mean?
- Reject
- This means that the observed difference shows significant effect
For a p-value (α) level >0.05 you _______ the null hypothesis. What does this mean?
- Retain
- This means the observed difference is probably due to chance and is not significant
Difference between a Type I and Type II error?
Type I = rejection of a true null hypothesis
Type II = non-rejection of a false null hypothesis