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43 Cards in this Set

  • Front
  • Back

individuals

objects described by a set of data

variable

any characteristic of an individual

categorical variable

places an individual into one of several groups or categories (pie and bar)

quantitative variable

takes a numerical value (histogram and stem plot)

unit of measurement

seconds or kilograms

distribution (of a variable)

what values it takes and how often

distribution of a categorical variable

lists categories and gives either the count or the percent in each category

time plot

plots each observation against the time that it was measured

what best plots quantitative variables?

histograms and stemplots

what kind of variable is age?

quantitative

Q1 and Q3

medians on each side of the median

five number summary

minimum, Q1, M, Q3, maximum

boxplot

central box spans Q1-Q3


line in box is M


lines extend from box to min and max

IQR

= Q3-Q1

identifying outliers

1.5 x IQR

resistant measures

median and quartiles

non-resistant measures

mean, correlation and SD

N(mean, SD)

mean and SD of a normal distribution


(0,1)

z=

x-mean/SD

standardized value

Z

response variable

measures an outcome of a study (altered by the explanatory variable)

explanatory variable

explain or influence change in a response variable

scatterplot

displays the relationship between two quantitative variables measured on the same individual

correlation (r)

measures the direction and strength of the linear association (positive and negative associations)

regression line

straight line that describes how a response variable changes as an explanatory variable changes

least-squares regression line

the line that minimizes the sum of the squares of the vertical distances of the observed points to the lines

influential observations

individual points that substantially change the correlation or regression line

ecological correlation

the tendency for correlations based on averages to be stronger than correlations based on individuals

extrapolation

use of a regression line to predict values far outside the range of what was actually observed

lurking variable

may explain the relationship between the explanatory and response variable

conditional distribution

distributions of a row variable for each fixed value of the column variable, and vis versa (each value in the column as a percent of the column total)

bar graphs

flexible means of presenting categorical data

sample survey

selects a sample from the population of all individuals about which we desire information

random sampling

uses chance to select a sample

stratified random sampling

classify the population into strata, and then choose SRS from each stratum

bias

systematic error in the way the sample represents the population



voluntary response samples are particularly prone to

bias

forms of bias

-undercoverage


-nonresponse


-response bias


-poorly worded questions

experiments

actively impose treatment (vs observational studies)

confounded variable

effects on a response cannot be distinguished

randomization

uses chance to assign subjects to the treatments

blocks

individuals who are similar in some way

matched pairs

subject receives both treatments, or subjects are paired as similarly as possible to compare treatments