Statistics Flashcards
The terms used to describe how closely your results reflects the truth?
Accuracy and Validity
The terms used to describe the reproducibility of your measurement.
Precision/Reliability/Reproducibility
A hypothesis that says there is no statistical significance between the two variables. This result is the opposite of what researchers wish to prove because the outcome is due to chance.
Null Hypothesis
A hypothesis that says there is a difference (or an effect) between two or more variables. This result is anticipated by the researchers.
Alternative Hypothesis
When we use this term, our evidence has proven that our group results are related and not due to chance (exposure is associated with an outcome).
Reject the Null Hypothesis
When we use this term, our evidence has proven that our group results are due to chance (exposure is not associated with an outcome).
Fail to Reject the Null Hypothesis
This is an error that occurs when we reject a null hypothesis, when the null hypothesis is in fact, due to chance (determining that an effect is real when it is due to chance).
Type I Error (Alpha) or False Positive
This is an error that occurs when we “fail to reject the null hypothesis” - despite the evidence suggesting that the results are related (determining no effect is present when one does exist).
Type II Error (Beta) or False Negative
Outcome variable
Dependent Variable
Variable that impacts the outcome variable.
Independent Variable
A scale used for labeling variables without quantitative value (labels or names).
Nominal
A scale used for the order of values presented but the differences between them in unknown (i.e. satisfaction, happiness, pain).
Ordinal
A scale that is numerical, which we know both the order and the exact differences between the values (i.e. temperature). There is no true zero so it isn’t possible to compute ratios.
Interval Data Scales
A scale that tells us about the order, the exact value between units, AND they also have an absolute zero (i.e. weight and height)
Ratio Scales
The strength between two interval/ratio-level variables.
Pearson’s Correlation
Compares two ordinal-level variables.
Spearman Rank Correlation
Explain some properties of a correlation coefficient (r).
- Ranges from -1 to +1
- A “0” means there is no relationship between the variables.
- (-1) is a perfect negative correlation
- (+1) is a perfect positive correlation
- May be associated with a p-value
If you were given a mean for an independent group (of two), what statistical test would you use?
An Unpaired Two-Sample T-Test
If you were given a mean for an independent group (of more than two), what statistical test would you use?
ANOVA
If you were given a mean for a dependent group, what statistical test would you use?
A Paired Sample T-Test
If you were given a proportion/percentage/raw number/category, what type of statistical test would you use?
Chi-Square (x^2)
The practical importance of a treatment effect, whether it has a real, genuine, palpable, noticeable effect on daily life. No standards for calculating clinically important changes in outcomes.
Clinical Significance
Determined by the p-value & confidence interval (p<0.05 and 95% CI does not contain a 0).
Statistical Significance
What is an indicator of clinical significance?
Effect Sizes
True/False: A greater effect size indicates a larger difference between experimental and control groups.
True
True/False: You can have a statistically significant finding that is not clinically significant.
True
Explain the inverse relationship of significance levels and Type I/II Errors.
The smaller the significance level (a<0.01) decreases Type I error but increases Type II error (more false negatives). The opposite is also true.
Explain what power is defined as in statistics.
The statistical power of a study is the power, or ability, of a study to detect a difference if a difference really exists (the probability of correctly identifying a true positive). Power is dependent on sample size (larger sample = larger power).
Power Equation
1-ß