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statistics
the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. It is also about providing a measure of confidence in any conclusions.
a statistic
a numerical summary of a sample.
descriptive statistics
the organizing and summarizing of data through tables, graphs, and numerical summaries.
inferential statistics
uses methods that take results from a sample and extends them to the population, and measures the reliability of the result.
an individual
is a person or object that is a member of the group being studied.
parameter
is a numerical summary of a population.
a population
is the entire group of individuals to be studied
qualitative variable
attribute characteristic
quantitative variable
numerical measure
discrete variable
countable finite number
continuous variable
not countable, infinite number
nominal level of measurement
the values of the variable name, label, or categorize. In addition, the naming scheme does not allow for the
values of the variable to be arranged in a ranked or specific order.
ordinal level of measure
has the properties of the nominal level of measurement, the values of the variable can be arranged in a ranked or specific order
interval level of measurement
has the properties of the ordinal level of measurement and the differences in the values of the variable have meaning. addition and subtraction can be performed
ratio level of measurement
has the properties of the interval level of measurement and the ratios of the values of the variable have meaning. multiplication and division can be performed
observational study
measure the value of the response variable without attempting to influence the value of either the response or explanatory variables. observes, does not influence outcome
designed experiment
research assigns individuals in a study to groups, intentionally manipulates the value of explanatory variable, records the value of the response variable for each individual
confounding
study when the effects of two or more explanatory variables are not separated
lurking variable
an explanatory variable was not considered in a study, but affects the value of the response variable in the study
confounding variable
explanatory variable that was considered in a study whose effect cannot be distinguished from a second explanatory variable in the study
cross sectional studies
observational studies that collect info about individuals at a short period of time
case control sstudies
studies require looking at existing records
cohort studies
study where data is collected over time in groups
census
a list of individuals in a population along with characteristics of each individual
random sampling
process of using chance to select individuals from a population
sample without relpacement
individual who is selected is removed from the population and cannot be chosen again
sample with replacement
a selected individual is placed back into the population and could be chosen a second time.
stratified sample
separating into strata and obtaining a simple random sample. individuals must be homogeneous
systemic sample
selecting every kth individual from population. first individual selected is a number between 1 and k
cluster sample
sample selecting all individuals within a randomly selected collection or group
convenience sample
a sample where individuals are obtained, not random
sampling bias
technique to pick individuals favors one part of population over another
nonresponse bias
individuals who don’t respond to survey have diff opinions than those who do
response bias
answers do not reflect true feelings
design
describe the overall plan in conducting the experiment
completely randomized design
each experimental unit is randomly assigned to a treatment
matched-pair design
design where experimental units are paired up
blocking
grouping homogenous experimental units and randomly assigning them a treatment
frequency distribution
lists each category of data and number of occurrences for each category of data
relative frequency
frequency/sum of all frequencies
histogram
drawing rectangles for each class of data
class midpoint
sum of consecutive lower class limits divided by two
treatment
any combination of the values of the factors (explanatory variables)
response variable
the quantitative or qualitative variable for which the experimenter wishes to determine how its value is affeccted by the explanatory variable
factor
a variable whose effect on the response variable is to be assessed by the experimenter
placebo
an innocuous medication, such as sugar tablet, that looks, taste, and smells iike the experimental medication
blinding
nondisclosure of the treatment an experimental unit is recieving
response variable
Tthe variable whose value can be explained by the value of the explanatory or predictor variable.