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Statistics Flashcards

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2012583830StandardizingWe ________ to eliminate units0
2012583831Standardized ValueValue found by subtracting the mean and dividing by the standard deviation.1
2012583832ShiftingAdding a constant to the mean, the median, and the quartiles, but does not change the standard deviation or IQR.2
2012583833RescalingMultiple each data value by a constant multiplies both the measures of position and the measures of spread by that constant.3
2012583834Normal ModelA useful family of models for unimodel, symmetric distributions.4
2012583835ParameterA numerically valued attribute of a model.5
2012583836StatisticA value calculated from data to summarize aspects of the data.6
2012583837Z-scoreTells how many standard deviations a value is from the mean.7
2012583838BoxplotDisplays the 5-number summary as a central box with whiskers that extend to the non-outlying data values.8
2012583839Far OutlierIf a point is more than 3.0 IQR from either end of the box in a boxplot.9
2012583840Comparing DistributionsConsider: shape, center, spread10
2012583841Comparing BoxplotsCompare Shapes; Compare Medians; Compare IQRS; Check for outliers11
2012583842TimeplotDisplays data that change overtime.12
2012583843Standard DeviationSquare Root of the Var.13
2012583844VarianceThe sum of squared dev. from the mean, divided by the count minus 1.14
2012583845ResistantA calculated summary is said to be ________ if outliers have only a small effect on it.15
2012583846MeanFound by summing all the data values and dividing by the count.16
20125838475 Number SummaryReports the min., Q1, the median, Q3 and the max.17
2012583848PercentileThe # that falls above i% of the data.18
2012583849Interquartile Range (IQR)The difference between the 1st and 3rd Quartiles.19
2012583850RangeThe difference between the lowest and highest values in a data set. Range = Max-Mir20
2012583851MedianMiddle value, if it is not an even #, you take the average of the 2 middle #'s.21
2012583852OutliersExtreme values that don't appear to belong with the rest of the data. Any point more than 1.5 IQR from either end of the box in a Boxplot.22
2012583853SkewedDistribution is _________ if it's not symmetric and 1 tail stretches out farther than the other.23
2012583854TailsThe parts that typically trail off on either side.24
2012583855Symmetric2 Halves on either side of the center look approximately like mirror images of each other.25
2012583856UniformA distribution that's roughly flat.26
2012583857Unimodal1 mode27
2012583858Bimodal2 modes28
2012583859MultimodalMore than 2 modes29
2012583860ModeA hump or local high point in the shape of the distribution of a var.30
2012583861SpreadA numerical summary of how tightly the values are clustered around the center. Measures: IQR, Standard Dev.31
2012583862CenterThe place in the distribution of a variable that you'd point to if you wanted to attempt the impossible by summarizing the entire distribution with a single #. Measures: Mean, Median32
2012583863ShapeTo describe the _____ of a distribution, look for: single vs. mult. modes; symmetry vs skewness; outliers and gaps.33
2012583864DotplotGraphs a dot for each case against a single axis.34
2012583865Stem and Leaf DisplayShows quantitative data values in a way that sketches the distribution of the data.35
2012583866GapA region of the distribution where there are no values.36
2012583867HistogramUses adjacent bars to show the distribution of a quantitative var.37
2012583868Frequency Table (Relative Frequency Table)Lists the categories in a categorical var. and gives the count of percentages of each categories observation.38
2012583869DistributionThe _____________ of a var. gives: possible values of the variance; the relative frequency of each value.39
2012583870Area PrincipleIn a statistical display, each data value should be represented by the same amount of area.40
2012583871Bar ChartShows a bar whose area represents the count (or percentage) of observations for each category of a categorical variance.41
2012583872Pie ChartShow how a "whole" divides into categories by showing a wedge of a circle whose area corresponds to the proportion in each category.42
2012583873Contingency TableDisplays counts and, sometimes, percentages of individuals falling into named categories on 2 or more var.43
2012583874Marginal DistributionIn a contingency table, the distribution of either var. alone.44
2012583875Conditional DistributionThe distribution of a var. restricting the who to consider only a smaller group of individuals.45
2012583876IndependenceVariables are ________ if the conditional distribution of one variables is the same for each category of the other.46
2012583877Segmented Bar ChartDisplays the conditional distribution of a categorical var. within each category of another var.47
2012583878Simpson's paradoxWhen averages are taken across different groups, they can appear to contradict the overall averages.48
2012583879ContextTells who was measured, what was measured, how the data were collected, where the data was collected, and when and why the study was performed.49
2012583880DataSystematically recorded info., whether #'s or labels, together with its contact.50
2012583881Data TableAn arrangement of data in which each row represents a case and each column represents a variable.51
2012583882CaseIndividual about whom or which we have data.52
2012583883PopulationAll the cases we wish we knew about.53
2012583884SampleThe cases we actually examine in seeking to understand the much larger population.54
2012583885VariableHolds info about the same characteristic for many cases.55
2012583886UnitsA quantity or amount adopted as a standard of measurement, such as dollars, hours, or grams.56
2012583887Categorical VariableA variable that names categories (words/numbers)57
2012583888Quantitative VariableA variable in which the numbers act as numerical values - always have units.58
2027682233Random PhenomenonIf we know what outcomes could happen, but not which particular valves will happen.59
2027682234TrialA single attempt or realization of a random phenomenon.60
2027682235OutcomeThe value measured, observed, or reported for an individual instance of that trial.61
2027682236EventA collection of outcomes.62
2027682237Sample SpaceThe collection of all possible outcome values.63
2027682238Law of Large NumbersStates that the long run-run relative frequency of repeated independent events gets closer and closer to the true relative frequency as the number of trials increases.64
2027682239IndependenceIf one event occurs it does not change the probability thta that the other event occurs.65
2027682240Empirical ProbabilityThe probability comes from the long-run relative frequency of the event's occurence.66
2027682241Theoretical ProbabilityWhen the probability comes from a model.67
2027682242Personal ProbabilityWhen the probability is subjective and represents your personal degree of belief.68
2027682243Observational StudyA study based on data in which no manipulation of factors has been employed.69
2027682244Retrospective StudyAn observational study in which subjects are selected and then their previous conditions or behaviors are determined.70
2027682245Prospective StudyAn observational study in which subjects are followed to observe future outcomes.71
2027682246ExperimentManipulates factor levels to create treatments. Randomly assigns subjects to these treatment levels. Compares the responses of the subject groups across treatment levels.72
2027682247FactorA variance whose levels are manipulated by the experiment.73
2027682248ResponseA variance whose values are compared across different treatments.74
2027682249Experimental UnitsIndividuals on whom an experiment is performed.75
2027682250LevelThe specific values that the experimenter chooses for a factor.76
2027682251TreatmentThe process, intervention, or other controlled circumstance applied to randomly assigned experimental units.77
2027682252Priciples of Experimental DesignControl; Randomize; Replicate; Block78
2027682253Control GroupThe experimental units assigned to a basseline treatment level.79
2027682254Placebo EffectThe tendency of many human subjects to show a response even when adminstered a placebo.80
2027682255BlindingAny individual associated with an experiment who is not aware of how subjects have been allocated to treatment groups.81
2027682256PlaceboA treatment known to have no affect.82
2027682257ConfoundingLevels of one factor are associated with the levels of another factor in such a way that their effects cannot be separated.83
2027682258Sample SurveyA study that asks questions of a sample drawn from some population in the hope of learning something about the entire population.84
2027682259BiasAny systematic failure of a sampling method.85
2027682260RandomizationThe best defense against bias; each individual is given a fair, random chance of selection.86
2027682261Sample SizeNumber of individuals in a sample represents the population.87
2027682262CensusSample that consists of the entire population.88
2027682263Population ParameterNumericlaly valued attribute of a model for a population.89
2027682264RepresentativeA sample is said to be ___________ if the stats computed from it accurately reflect the corresponding population parameters.90
2027682265Simple Random Sample (SRS)A sample in which each set of "n" elements in the population has an equal chance of selection.91
2027682266SRSSimple Random Sample92
2027682267Sampling FrameList of individuals from whom the same is drawn.93
2027682268Sampling VariabilityThe natural tendency of randomly drawn samples to differ, one from another.94
2027682269Stratified Random SampleA sampling design in which the population is divided into several subpopulations, or strata, and random samples are then drawn from each stratum.95
2027682270Cluster SampleA sampling design in which entire groups are chosen at random.96
2027682271Multistage SampleSampling schemes that combine several sampling methods.97
2027682272Systematic SampleA sample drawn by selecting individuals systematically from a sampling frame.98
2027682273PilotA small trial run of a survey to check whether questions are clear.99
2027682274Voluntary Response BiasBias introduced to a sample when individuals can choose on their own whether to participate in the sample.100
2027682275Convenience SampleConsists of the individuals who are conveniently available to sample.101
2027682276UndercoverageA sampling scheme that biases the sample in a way that gives a part of the population less representation.102
2027682277Nonresponse BiasBias introduced when a large fraction of those sampled fails to respond.103
2027682278Response BiasAnything in a survey design that influences response.104
2027682279RandomIf we know the possible values it can have, but not which particular value it takes.105
2027682280SimulationModels a real-world situation by using random-digit outcomes to mimic the uncertainty of a response variance of interest.106
2027682281Simulation ComponentA component uses equally likely random digits to model simple random occurrences whose outcomes may not be equally likely.107
2027682282Trial (Chapter 11)The sequence of several componets representing events that we are pretending will take place.108
2027682283Re-expressionWe _______ data by taking the logarithm, the square root, the reciprocal, or some other mathematical operation on all values of a variance.109
2027682284Ladder of PowersPlaces in order the effects that many re-expressions have on the data.110
2027682285Correlation CoefficientNumerical measure of the direciton and strength of a line or association.111
2027682286ScatterplotShows relationship between two quantitative variables measured on the same cases.112
2027682287Lurking VariableA variable other than x and y that simultaneously affects both variables, accounting for the correlation between the two.113
2027682288ModelAn equation of formula that simplifies and represents reality.114
2027682289Linear ModelAn equation of a line. To interpret a linear model, we need to know the variables and their units.115
2027682290Predicted ValueThe value of y^ found for a given x-value in the data. This is found by substituting the x-value in reg. equation.116
2027682291ResidualsDifference between data values and the corresponding values predicted by the regression model. Observed Value minus predicted value (e= y-y^)117
2027682292Least SquaresSpecifics the unique line that minimizes the variance of the residuals or, equivalently, the sum of the squared residuals.118
2027682293Regression to the meanBecause correlation is always less than 1.0 in magnitude, each predicted y^ tends to be fewer standard deviation from its mean than its corresponding x was from its mean.119
2027682294InterceptThe intercept b (little o), gives a starting value in y-units. It's the y^ - value when x = 0.120
2027682295ExtrapolationAlthough linear models provide an easy way to predict values of y for a given value of x, it is unsafe to predict for values of x far from the ones used to find the linear model equation.121
2027682296LeverageData points whose x-value are far from the man of x, are said to exert _____________ on a linear model.122
2027682297Influential PointIf omitting a point from the data results in a very different regression model.123
2031495160Disjoint(mutually exclusive)2 events share no outcomes in common.124

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