Important Definitions Flashcards
What makes a good hypothesis?
Valid data gathering and no fishing expeditions
What are the four steps of hypothesis testing?
- Make hypothesis
- Set criteria for decision
- Gather data and conduct statistical analysis
- Make decisions -> accept H0 or reject HA
What is the Null Hypothesis (H0)?
No difference
- All samples from same population
- Observed difference due to chance (random sampling)
What is the Alternative Hypothesis?
At least one sample from a different population
- Difference not due to chance
All statistics are based on…
Probability
What is our main goal in hypothesis testing?
Rejecting the null
If alpha < our result, then…
We accept the null
If alpha > our result, then…
We reject the null
What does mutually exclusive indicate?
Only one event can occur
Ex: heads or tails
What does independent variables indicate?
Either event could occur
Ex: roll a 6 on one die and a 6 on the other die
When do we use the additive rule?
With a mutually exclusive event
When do we use the multiplicative rule?
With an independent probability
What is sampling?
Selection of study subjects who will be
measured on some parameter to provide information about population
What are the representative sampling techniques?
- Simple random sampling
- Systematic sampling
- Stratified sampling
- Convenience sampling
- Multistage sampling
Simple random sampling
Each individual has equal chance of being selected
Ex: drawn out of hat
Systematic sampling
Select at regular intervals through an ordered list
Ex: interview 3rd patient for one week
Stratified sampling
– Separate population into strata based on a Separate population into strata based on a characteristic
–– Randomly select proportion of participants from each stratum
Ex: picking only freshmen, and then select randomly within freshmen
Cluster sampling
Population already in strata
* Randomly select groups of strata
Convenience sampling
Cold call
* Does not typically represent population
Multistage sampling
Combines more than one sampling
Ex: randomly selected PCPs chosen for survey, when answering, second detailed survey sent out to randomly selected sample
What is a qualitative variable?
Catergorical: groups, cohorts
Ex: ethnicity, gender, disease status, age group, stage of cancer, pain rating
What is a quantiative variable?
Continious: measured quantities
Ex: height, weight, temperature, blood pressure, temperature
What is an independent variable?
Input, manipulative
What is an dependent variable?
Outcome, response, predicted
What are measures of central tendency?
Mean, median, mode
What are measures of dispersion?
Range, interquartile range, percentiles
Standard deviations (SEM), max/min, kurtosis, skewness
What does sample size mean?
Number of samples in each group
Larger sample sizes tend to have more statistical power
How can we reduce variance?
Increase the sample size
Better define our sample populations
Censor outliers
Unimodal distributions
Normal and skewed distribution
What is the bell-shaped curve?
Gaussian Distribution
What is Gaussian Distribution used for?
Continuous variables
What is described of in Gaussian Distribution?
Mean, and standard deviation
In a skewed distribution…
Mean not equal to median
Positive skew
Mean > median > mode
Negative skew
Mean < median < mode
What is kurtosis?
Peakedness or flatness of frequency distribution
Higher kurtosis means…
Variance from infrequent extreme deviations
What is platykurtic?
Negative kurtosis
What is leptokurtic?
Positive kurtosis