Midterm 2 Flashcards
What is the purpose of t-test?
to compare 2 groups of scores
(does not require a large sample size but it does help)
What are the appropriate types of variables for a t-test?
Independent variable: dichotomous
Dependent variable: continuous
Null hypothesis: no difference between 2 groups being compared
Alternate hypothesis: 2 groups of scores are different
What is the purpose of an UNPAIRED t-test?
when comparing 2 groups of scores, the 2 groups of scores are INDEPENDENT of each other
AKA 2 group t test, 2 sample t test, independent group t test
For an Unpaired t test, you are (adding/subtracting) the average score of one group to the score of another group
subtracting
For an unpaired/paired t test, how does t get bigger?
get more participants
What are the degrees of freedom of an unpaired t test?
N (total number of observations of the study) - 2
What are degrees of freedom used for?
t(#) where # = degrees of freedom
It is a statistic that is a shorthand indicating sample size. It tells us the shape of the distribution
If the t test was t(698) what are the degrees of freedom of this example?
df = N - 2
698 = N -2
N = 700
How do you get closer to the normal distribution graph with t distribution?
obtain MORE observations
What is the critical value of t?
the smallest absolute value of t needed for the observations to be within the alpha level of statistical significance
unique for every freedom
You would need the t value to be greater than the critical value to be statistically significant
Ex: If 2 tailed t test t(698) = 0.75 and p = 0.57 and the critical value is 1.96, does this meet critical value? Is it significant?
No. 0.75 < 1.96 so does not fall in statistically significance
It is not statistically significant because p > 0.025
What is a paired t-test?
when comparing two groups of scores that are related in pairs (AKA matched groups t test, dependent t test)
scores are paired/linked with one another in some way
ex: for every subject, left eye receives the drug and right eye receives placebo, compare dryness of each eye
Paired t test involves (adding/subtracting) 2 values in a pair and then averaging that difference.
subtracting
For the degrees of freedom of a paired t test what is the formula?
df = N - 1
N (total number of observations)
How does the graph for t distribution look?
it is infinite on a graph and NEVER touches the x axis
What is ANOVA?
Analysis of Variance
compare average score of 2 or more groups of scores
independent variable: categorical
dependent variable: continuous
(similar to t test but more groups compared)
ANOVA uses what size of groups and what is the statistic called?
small # of groups
F statistic
What is F in ANOVA?
variation between groups/ variation WITHIN groups
How is variation measured?
mean squares (MS)
What does variation between groups mean?
how different are the group means compared to the grand mean?
GRAND mean: average score of all observations from all groups
ex: hospital A vs all the hospital means
What does variation within groups mean?
not everyone in a group is identical
ex: scores within hospital A
If the groups are very different in an ANOVA test?
MS between < MS within
F>1
If the average score of each group is the same (or very similar?
MS between ~ MS within
F~1
What is the F distribution?
infinite number of f distributions
shape of graph depends on degrees of freedom
What is the critical value of F?
the value for which 5% of the area is under the curve and larger than that value
What is the formula for degrees of freedom of NUMERATOR for F?
df = #groups - 1
What is the formula for degrees of freedom of the DENOMINATOR for F?
univariate ANOVA (1IV, 1DV)
df = N - # groups
What does the numerator of df in F mean?
how many groups are being compared
ex: if comparing 4 groups, df between = 3
What does the denominator of df in F mean?
total sample size
ex: if you have 250 participants distributed among 4 groups, df within = 246
What does the univariate ANOVA F(3, 246) mean?
4 total groups being compared with 250 sample size/observations
When interpreting ANOVA with 3 or more groups, what conclusion can you draw?
you can reject the null hypothesis and there is SOME difference between the groups that you cannot exactly determine. You just know that they are not all equal (statistically significant)
How would you find out how the 3 or more groups are different in an ANOVA test?
perform post hoc tests
follow up tests/ pairwise comparisons
What are the 3 post hoc tests we need to know?
- Tukey’s test
- Fishers Least Significant Difference (LSD)
3.Scheffe’s Method
What are descriptive statistics?
statistics that help you describe characteristics of your sample.
Primarily measures the central tendency and variability
What are some descriptive statistics we have learned so far?
raw scores
arithmetic mean
median
mode
st deviation
number of participants
What are inferential statistics?
They describe the likelihood of your results occurring by chance or generalizing beyond your sample
you are inferring things beyond just your sample AKA statistical inference
What are some inferential statistics we have learned so far?
students t
point estimate
confidence interval
std error
beta
F (ANOVA)
What is absolute risk?
measure of likelihood of a certain event happening
ex: a smoked has 3% overall chance of dying of lung cancer
What is relative risk? (risk ratio)
the likelihood of disease among “exposed” compared to the likelihood of disease among “unexposed”
does not provide any info to absolute risk
ex: a smoked is 7x more likely to die of lung cancer than a non-smoker
What is the equation of absolute risk?
(participants with disease present in exposed or unexposed) / (total participants in unexposed)
What is the equation of relative risk? (ratio)
(absolute risk of disease in exposed) / (absolute risk of disease in unexposed)
What is attributable risk and how is it determined?
the amount of risk that can be attributed to the risk factor
absolute risk (exposed) - absolute risk (unexposed/baseline risk)
How do we interpret Risk ratio?
RR > 1 = positive association of risk factor and disease
RR < 1 = negative association of risk factor and disease (protective factor)
RR = 1 baseline risk or no association
If RR = 5, what does this mean?
5x risk of disease for those exposed to the risk factor vs those that are unexposed
If you have a 2x more likely of getting a disease then the change in risk increased to?
100% increase in risk (or 2x the risk)
1 = baseline so if you add 1 more to that you have a 100% increase because you doubled 1
What is the interpretation of RR of 0.80?
risk of outcome in the exposed group was reduced by 20% relative to the unexposed group
What is the interpretation of RR of 3.30?
risk of outcome in the exposed group was increased by 230% relative to the unexposed group OR the outcome was 3.3 times more likely to occur in the exposed group than in the unexposed group
A study finds that RR = 1.7 and 95% CI: 0.9-2.7. Is there a significant association?
NO because 1.0 is within the range of the CI