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AP STATISTICS Flashcards

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14725556216continuous variablea quantitative variable that has an infinite number of possible values that are not countable0
14725583219discrete variablea quantitative variable that has either a finite number of possible values or a countable number of possible values1
14725595101numeric variablea variable whose values are numbers - also called quantitative variable2
14725599842categorical variablea variable that can take on one of a limited, and usually fixed number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property3
14757364844stemplotused to display quantitative data, generally from small data sets - numeric data is separated by a vertical line (left = stem & right = leaf)4
14757371421circle grapha graph of data where the entire circle represents the whole or 100%5
14757373222time series grapha graph that measures time on the x-axis and the variable or variables in which we are interested on the y-axis6
14757374348frequencymeasure of how often a data value occurs7
14757376297dot plota graphical device that summarizes data by the number of dots above each data value on the horizontal axis8
14757377360segmented bar chartdisplays the conditional distribution of a categorical variable within each category of another variable9
14757385119histogramused to display large sets of continuous numeric variables - vertical bars are used to divide the data into class intervals or bins - the horizontal axis displays the variable of interest and the vertical axis displays the frequency of each data in the interval10
14757392281ogivea graph that represents the cumulative frequencies for the classes in a frequency distribution11
14757393851bar chartused for categorical data - a chart with bars whose lengths are proportional to quantities12
14811646207joint frequency distributioncounts of the events in the body of the table13
14811663192marginal frequency distributiontotals of each row and each column representing a variable (marginal distribution)14
14811674197countsnumbers of items in each category (frequency)15
14811678656table totaltotals amounts that all rows (or columns) add up to16
14811692152two-way frequency tablea table that contains the counts (frequency) or data and organizes it by categorical variables17
14811725703conditional frequency distributionthe counts (frequency) of each entry of a specific column or row total18
14811772388two-way relative frequency for whole tableuses relative frequencies instead of counts (frequency) for the whole table - (each count/table total) = the relative frequency19
14811843599relative frequencypercentage or ratio20
14936225009Q375th percentile21
14936274591maximumthe largest value in a distibution22
14936276673five-number summarythe values that create a boxplot23
14936281010outliersan observation that is more or less than 1.5(IQR) away from the 1st and 3rd quartile24
14936291896variancethe average of the squares of the deviations of the observations from their mean25
14936294675medianthe middle of the data set26
14936296095minimumsmallest value in a distribution27
14936298119IQRthe middle 50% of the distribution28
14936307562standard devationthe square root of the variance29
15025353919symmetricboth sides are the same30
15025367027skewed rightwhen the tail is to the right31
15025370206variabilitythe spread - distance values are arranged from each other32
15025373714skewed leftwhen the tail is to the left33
15025378886resistantdoes not change - not affected by outliers34
15025435628SOCSshape, outliers, center, spread35
15025498591quantitative datanumerical data - histogram36
15025512391qualitative datadescriptive data37
15025515534categorical dataconsists of names, labels, or other nonnumerical values - bar chart38
15079493722normal proportionswhen you have restated the problem in a standard normal variable of Z39
15079501804standard deviationthe positive square root of the variance40
15079509144A-tableis a table of areas under the standard normal curve41
15079516895density curvea curve with an area of one, all graphed above the x-axis42
15079537717normal curvea density curve where the mean is equal to the median43
15249175034mean symbol44
15249211349standard deviation symbol45
15249222943predicted value symbol46
15249242292coefficient of determination symbol47
15249263203scatterplotrelationship between to quantitative variable measured on the same subject or individual48
15249276911dependent variablevariable that measures an outcome of a study49
15249284693least squares regression line equation50
15249358993z-scale equation51
15249367839mean equation52
15249374950variance equation53
15249382021standard deviation equation54
15249389562independent variableexplanatory variable that attempts to explain the observed outcomes55
15249399414LSRLleast squares regression line56
15249414421residual equation57
15249450250y-axis/vertical axisresponse variable usually graphed on this axis58
15249456233intercept equation59
15249475628regression linestraight line that describes how the y responds to the changed in the explanatory variable x60
15249491718x-axis/horizontal axisexplanatory variable usually graphed on this axis61
15249499291slope of least squares regression line equation62
15291910429bivariate datadata with two variables or pairs of numerical observations.63
15292167346correlation coefficientmeasures the direction and strength of the linear relationship between two quantitative variables - range between -1 and 164
15292173380residualobserved value of the response variable (y) vs. value predicted by the regression equation65
15292180520coefficient of determinationpercent of variation explained by the least squares regression line66
15292194556correlationmeasure the strength and direction between two quantitative variables67
15292271221correlation coefficient equation68
15352274517exponential transformationtransforming every coordinate (x,y) in a data set by replacing y with log(y) for each data value69
15352295769transformationtransforming bivariate data refers to replacing either the variable x, y, or both with a simple function of the variable70
15352301500power transformationtransforming every coordinate (x,y) in a data set by replacing x with log(x) and y with log(y) for each data value71
15530184948samplea subset of the population72
15530184949treatmentsomething we do in a group in order to observe the affect73
15530190857populationthe entire group of individuals74
15530194374experimenta technique for establishing the causal relationship between variables75
15530200561explainatory variableindependent variable - influences/affects response variable76
15530208127parameternumerical summary of a population77
15530210399observational studiesresearchers carefully and systematically observe and record behavior without interfering with behavior78
15530216851surveysquestionnaires and interviews that ask people directly about their experiences, attitudes, or opinions79
15530223368simulationsexperiments where researchers create the situation to be studied80
15530228023randomizationa process of randomly assigning subjects to different treatment groups81
15530231182statistica numerical measurement describing some characteristic of a sample82
15530235113censusattempts to contact every individual in the entire population83
15530239790response variablevariable that measures an outcome of a study84
15625243487systematic samplea sample drawn by selecting individuals systematically from a sampling frame85
15625244501convenience samplea form of non-probability sample using respondents who are convenient or readily accessible to the researcher - i.e. employees, friends, or relatives86
15625246019simple random sample (SRS)of size n consists of n individuals from the population chosen in such a way that every set of n individuals has an equal chance to be the sample actually selected87
15625247426cluster sampleobtained by selecting all individuals within a randomly selected collection or group of individuals88
15625249932stratified random samplea sample from selected subgroups of the target population in which everyone in those subgroups has an equal chance of being included in the research89
15625252724voluntary responsesampling design where individuals can choose on their own whether to participate in the sample90
15625254661non-responseoccurs when an individual chosen for the sample can't be contacted or refuses to participate91
15625255933wording of questionthe most important influence on the answers given to a sample survey92
15625256479undercoverageoccurs when some groups in the population are left out of the process of choosing the sample93
15718131242experimental unitsthe smallest collection of individuals to which treatments are applied94
15718134415replicateto repeat, to copy, or to duplicate95
15718134416factorsthe explanatory variables in an experiment96
15718137192table of random digitsa long string of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 with these properties - each entry in the table is equally likely to be any of the 10 digits 0 through 9 - the entries are independent of each other97
15718144754control groupgroup that is not exposed to the treatment98
15718149173placebo effectexperimental results caused by expectations alone - any effect on behavior caused by the administration of an inert substance or condition, which the recipient assumes is an active agent99
15847651678matched pairs designassigning subjects to groups in which pairs of subjects are first matched on some characteristic and then individually assigned randomly to groups100
15847654627double-blindan observation whose true purpose is hidden from both the observer and the person being observed101
15847656606factorsomething that contributes to a result102
15847656939single-blindexperiment in which either the subjects or those who interact with them and measure the response variable, but not both, know which treatment a subject received103
15847657582blockinggrouping of individuals according to some characteristic - the random allocation is carried out separately within each group to remove variability associated with the blocking variable104
15847659787confoundingoccurs when two variables are associated in such a way that their effects on a response variable cannot be distinguished from each other105
15954016734simple eventevent consisting of only one outcome106
15954018834inclusive eventsevents that have one or more outcomes in common107
15954019530law of large numbersprinciple stating that the larger the number of similar exposure units considered - the more closely the losses reported will equal the underlying probability of loss108
15954021120mutually exclusiveevents that cannot occur at the same time109
15954023119tree diagramdiagram used to show the total number of possible outcomes110
15954025474multiplication ruleto determine the probability, we multiply the probability of one event by the probability of another111
15954026078dependent eventsthe outcome of one event affects the outcome of the second event112
15954028818sample spacethe set of all possible outcomes113
15954029377contingency tablesprovide a format to display observations that have more than one value associated with them114
15954030376independent eventsthe outcome of one event does not affect the outcome of the second event115
15954031853addition rulethe probability that any one of two or more mutually exclusive events will occur is calculated by adding their individual probabilities116
16063497396conditional eventstwo events are conditional if the probability of one event changes depending on the outcome of another event117
16114864107standard deviation of a probability distributiona number that measures how far the outcomes of a statistical experiment are from the mean of the distribution118
16114866014expected valuethe mean of a probability distribution119
16114868982discrete random variablea random variable that may assume either a finite number of values or an infinite sequence of value120
16114872268continuous random variablea random variable that may assume any numerical value in an interval or collection of interval121
16250037505meanaverage122
16250042703linear transformationa transformation involving addition, subtraction, multiplication, or division of or by a constant123
16337989924geometric probabilityevents in calculating geometric probability are also independent, however, the trials stop after the first success occurs124
16338039259binomial probabilitya probability of getting one of two outcomes (like heads or tails) - success and failure125
16474111025continuous random variablescan take up any value between two intervals126
16474116516empirical rulegives the approximate % of observations - 1 standard deviation (68%), 2 standard deviations (95%) and 3 standard deviations (99.7%) of the mean127
16474120153normal distributionfunction that represents the distribution of variables as a symmetrical bell-shaped graph128
16474123109z-scorea measure of how many standard deviations you are away from the mean129
16569821116sampling distributionthe distribution of values taken by the statistic in all possible samples of the same size from the same population130
16569821579unbiased estimatorthe estimator is equal to the true value of the parameter131
16569825639Sxthe standard deviation132
16569826128standard deviation of the populationσ133
16569826436sampling variabilitythe value of a statistic varies in repeated random sampling134
16569826454mean of the populationμ135
16569827088x-barmean of a sample136
16569829522p-hatsample proportion137
16569831761pthe population proportion of a characteristic of interest138
16602086041CLTcentral limit theorem139
16602089215standard deviation of the mean140

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