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26 Cards in this Set

  • Front
  • Back


Units

To understand a number one must know its units




8 miles/weeks/year?

Distribution of categorical variable

Both bar or pie chart can be used to graph the distribution of a categorical variable

Distribution of a quantitative variable

a histogram can be used to show the distribution of a quantitative variable

Prevalence

The number or share of a population that has a particular disease or condition

Incidence

Rate at which new cases of a disease appear in the population

Mean (average)

Total up all the values, then divide by n`

Median

Point that splits the distribution into two equal halves

Relative risks and odds ratios

Show relationships between categorical variables with only two possible values

Relative risk

Group 1's probability outcome/Group 2/s probability outcome

Odds ratio

Odds of outcome for Group 1/Odds of outcome for Group 2

Correlation

Measures strength and direction of relationship between two quantitative variables




Represented by r (correlation coefficient)




Ranges from -1 to 1




Correlation = 0 means no relationship

When correlation is positive

Variables tend to move in same direction




When one variable goes up, the other goes up

Negative correlation

Variables tend to move in opposite directions

What does a given r really mean?

If a variable (x) changes by 1 standard deviation, the correlation r is the expected standard deviation change in the other variable (y)

Simple regression

Best-fit straight line




How the independent variable predicts the dependent variable




Y=Bo+B1X1--> Constant+Regression Coefficient: slope

Multiple Regression

Uses multiple independent variables to predict the dependent variable




Y= Bo+B1X1+B2X2

Practical significance

magnitude matters- how big is the effect





Practical significance definition

Extent that the magnitude (if true) would be important or relevant in the real world




Depends on judgement




Must be able to interpret results in units and ways relevant to practice and policy

Running a significance test

-Calculate a test statistic




-Find the p-value





Calculate a test statistic

Estimate a difference or relationship using sample data




Compute how far the estimate is from the null




Divide by the sampling variability (stand. error)




Test statistic=(Estimate-Null)/SE

Find the p-value

Probability of the estimate, when null is true




Use software or a table to find the p-value




If p-value is small enough, null hypothesis can be rejected

P Value

Probability of observing our sample estimate (or an estimate further from the null), if null is true




P values are universal!

Low P Value

More statistical significance--> null very unlikely, alternative possible

How low is low enough?

Common convention is .05 or less

How many independent variables can one regression have?

Depends on:




Amount of date (# of observations)


-- 1 indep var for every observation




Multi-collinearity, how much variation in independent variable




Precision desired

Interaction variable

Product of two other variables




Describes how one variable moderates the effect of the other