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7273267504APAdvanced Placement.0
7273264345StatisticsNumerical data used for analysis. The science that collects and studies data.1
7292818941SampleA subset of the population. A small part or quantity intended to show what the whole is like.2
7292826227Population of InterestAll people in the world with the characteristic(s) you're looking at, typically unattainable. Population the researchers want to generalize.3
7292833924PopulationA group of individuals that belong to the same species and live in the same area. All the inhabitants of a particular town, area, or country.4
7292840696NumericalRelated to numbers or a series of numbers.5
7292850792DiscreteUnconnected; separate; distinct.6
7292852485ContinuousGoing on without stopping. Unbroken.7
7292859656VariablesFactors that can change in an experiment. Factors that can affect the results of an experiment.8
7292863543Discrete NumericalCan be counted. Ex: How many times have you eaten at this restaurant?9
7292866977Graphical DisplayA visual representation of a distribution. Pie chart or bar chart. Variation: Pictograph can be misleading.10
7292877002Bar ChartData graphed as a series of bars. A chart (graph) that uses vertical bars to represent a spreadsheet.11
7292879868Dot PlotLine plot. A data graph in which each data item is shown as a dot above a number line.12
7292895268Relative Frequency DistributionLists each category of data together with the relative frequency. How often something happens divided by all possible outcomes.13
7292981098FrequencyHow often. The rate at which something occurs over a particular period or in a given sample.14
7292986174Relative FrequencyHow often something happens divided by all outcomes. A ratio or percent.15
7293029263FrequenciesHow many times a topic shows up. __________ are expressed as proportions of the total population.16
7293040096RelativeConsidered in relation or in proportion to something else. Compared to.17
7293052888CharacteristicTypical of a particular person, place, or thing. Trait.18
7293135048ShortestMost short.19
7293138417Most CommonFrequency distribution.20
7293149283RangeThe difference between the highest and lowest scores in a distribution. Distance between highest and lowest scores in a set of data.21
7293151842UnusualStrange, not common, rare. (Adj) Not usual or ordinary; remarkable.22
7293171037Inferential StatisticsProcedures used to draw conclusions about larger populations from small samples of data. Analysis of data as the basis for prediction related to the phenomenon of interest.23
7293176280A Primary Use of Inferential StatisticsTo make generalizations from a sample to a population.24
7293184393A Data Set is Discrete if...The possible values are isolated points on a number line.25
7293193072Categorical DataData that consists of names, labels, or other nonnumerical values. Data that are mutually exclusive and place subjects into specified groups.26
7293204626Dot Plots Work Best for...Small and moderate sized numerical data sets.27
7293210375Bar Charts should be used with...Categorical data.28
7293216187Categorical Data SetA data set that has categorical responses also known as a qualitative data set.29
7293220174MultivariateInvolving more than two variables. When more than two variables are under scrutiny.30
7293249677Numeric Variables-Continuous -Discrete31
7293254918VariabilityQuality of services depends on who provides them and when, where, and how. In a set of numbers, how widely dispersed the values are from each other and from the mean.32
7293261800VariableA factor that can change in an experiment. A factor that can change.33
7293272483Data Analysis ProcessDrawing conclusions from data. Descriptive and inferential.34
7293284600Descriptive StatisticsThe methods of organizing and summarizing data. Table, graph, percents, averages, and standard deviation.35
7293292960TableRepresents numerical information by organizing it into columns and rows. A collection of rows and columns.36
7293294709GraphRepresents numerical information spatially.37
7293299384PercentsRatios that compare a number to 100. Parts of a hundred.38
7293300505AveragesArithmetic average price behavior at a given point in time. Use this to improve reliability.39
7293316919Standard DeviationA computed measure of how much scores vary around the mean score. The square root of the variance.40
7293319105GeneralizationsSample to population. Statement of the nature of the relationship between two or more sets of facts.41
7293330589Types of DataQuantitative and qualitative.42
7293356646Round to...3 or 4 decimals.43
7293357811Bivariate2 variables. Ex: Hair and eye color.44
7293363281y-AxisStarts at 0.45
7293370759CenterMost frequent or middle.46
7293377658OutliersNumbers that are much greater or much less than the other numbers in the set. Sample values that lie very far away from the vast majority of the other sample values.47
7293380422SpreadHighest to lowest data values. Look for: -Max -Min Without the outliers.48
7293385056Comparative Dot PlotsAllows comparison of separate populations.49
7293402056Univariate GraphDot plots and histograms.50
7293407145SymmetricalBell-shaped and balanced. Well proportioned; the same on both sides.51
7293418279UniformThe same all the way through; consistent.52
7293419862SkewedLeft or right, has a tail. A distribution with its peak well to one side.53
7293424972BimodalA distribution with two clear peaks. Describes a graph of quantitative data with two clear peaks.54
7293430490Multi-ModalMore than two classes have the largest frequency.55
7293435422Skew NegativelyLeft skew. Tail on the left.56
7293437449ClusterData that are grouped closely together. A number of similar things grouped together.57
7293439945GapA region of the distribution where there are no values. An empty space or interval in a set of data.58
7293450935Exploring DataObserving patterns and departures from patterns. Variable by itself to relationship b/w variables; graph to numerical summary.59
7293455902Planning a StudyDeciding what and how to measure.60
7293458078Anticipating PatternsProducing models using probability and simulation.61
7293461155Statistical InferenceConfirming models. Coming to a conclusion about the population based on the sample.62
7311516700Graphical Methods for Describing DataCreate and interpret graphs for categorical data. Create and interpret graphs for numerical data. Create and interpret graphs of bivariate numerical data.63
7311532435Graphs for Categorical DataBar graphs, segmented bar graphs, and pie or circle charts.64
7311537475Graphs for Numerical DataStem plots and histograms.65
7311541258Graphs of Bivariate Numerical DataScatter plots and time series plots.66
7311547268PieCircle. A chart that shows the relationship of a part to a whole. Used for categorical data.67
7311552250CategoricalAbsolute; without exception.68
7311556832Always...Title graph and include a key or labels.69
7311564541To Describe...Comment on which occurred the most often or least often and compare categories.70
7311569282Segmented Bar ChartsStacked bar chart.71
7311573357Stacked Bar ChartThese graphs use rectangles to illustrate percents or proportions in categories. It's a pie chart, but with a rectangle. Created by hand in place of the pie chart. Simply note the categories with the largest and least percentages and compare categories.72
7311588808Comparative Bar ChartsSeparate bar graphs are created to compare two pr more populations on the same set of vertical or horizontal axis. Include a title. Counts cannot be used on the vertical axis as they can be misleading when sample sizes are not the same. Must use relative frequencies for accurate comparisons between categories.73
7311620631TitleDescriptive text that is aligned to an axis or at the top of a chart.74
7311627387Relative FrequenciesPercents found by dividing each class frequency by the total of all frequencies (%).75
7354432903How to Display Numerical DataFrequency distributions, histograms, etc.76
7354441797Frequency DistributionsA table or chart that presents counts of values in ranges. Gives classes or categories and gives their count.77
7354450890HistogramsShow trends or compare a number of factors, also called bar or column graphs. Bar graphs.78
7354460413Cumulative Relative FrequencyA ratio of combined frequencies of two or more categories to the total. The total relative frequency up to a given data value.79
7354469372OgivesGraphs of cumulative frequencies. Uses cumulative frequency greater than and less than.80
7354488936Cumulative Relative Frequency TablesKeep track of the proportion of data that falls below the upper boundaries of the classes.81
7354504345Class IntervalA group of values that is used to analyze the distribution of data. A group of scores in a grouped frequency distribution.82
7354510731Cumulative Relative Frequency PlotOgive or graph of cumulative relative frequencies against the upper endpoint of the corresponding interval. A graph of a cumulative relative frequency distribution.83
7354530332OgivePronounced OH-jyv. A cumulative relative frequency plot.84
7354540523PercentilesThe percent of individuals that are at or below a certain value. How is relative standing often represented?85
7354562149Quartiles are located at every...25% of the data.86
7354568416First QuartileQ1 or the 25th percentile. The median of the lower half of a data set.87
7354577956Third QuartileQ3 or the 75th percentile. The median of the upper half of a data set.88
7354590331Q2Has a special name.89
7354601444Interquartile RangeIQR or the range of the middle half of the data. IQR = Q3 - Q190
7354611442Range of the Middle Half50%91
7354615406The Approximate Median Value of the Distribution would be...A cumulative relative frequency of .5.92
7354629259Ogive Graphs can...Help answer questions about percents of observations that are at or below a certain value.93
7354672117Percents of Observations that are At or Below a Certain ValuePercentiles94
7354679366If 60% of All Students Weigh Less Than about 160 Pounds...The 60th percentile is 160 pounds.95
7354688072Cumulative FrequencyMight be instead of cumulative relative frequency. The sum of the frequencies for that class and all previous classes.96
7354702411Because of the Positively Skewed Data, Sometimes Frequency Distributions are...Created with unequal class widths.97
7354717747Using Frequency or Relative Frequency with Uneven Class Widths Gives...A false visual of the data.98
7354757256Density HistogramDensity = (Rectangle Height) Bar area measures the fraction of observations in bin.99
7354769566Rectangle Height(Relative Frequency of Class) / (Class Width)100
7354782658Interval WidthClass interval.101
7354790313DensityNot relative frequency. The frequency with which something exists within a given unit of area.102
7354801334When Given a Frequency Distribution...Check interval widths.103
7354812462If Widths are Equal...Make a standard histogram.104
7354816835If Widths are Unequal...Calculate density for each interval and make a density histogram.105
7354825730ProportionAn equation stating that two ratios are equal. A part, share, or number considered in comparative relation to a whole.106
7354834650Relative Frequency Histogramx = Relative Frequencies y = Class Boundaries107
7354841911HistogramA graph of vertical bars representing the frequency distribution of a set of data. A bar graph depicting a frequency distribution.108
7354848066Stem-and-Leaf DisplayShows quantitative data values in a way that sketches the distribution of the data.109
7354883730Stem and Leaf DisplaysNot split, split, and comparative. Display used for summarizing quantitative variables and splits data values into two parts.110
7354894659Stem-and-Leaf DiagramA quick technique for picturing the distributional pattern associated with numerical data. A picture. Commonly called a stem plot.111
7354924612Looking at a Range of Data, Stems are Chosen to...Get the desired number of groups.112
7354930223StemsMore than one leading digit. Support the leaves.113
7354945652The Next Digits or Digit After the Stem becomes...The leaf.114
7354949552TruncateLeave off or delete. To shorten by cutting off. This is not rounding.115
73549566984.75 to 4.7Truncated to one digit.116
7354964905ShapeA two-dimensional line with no form or thickness. Geometric and organic are two types.117
7354970390GapsWhen there is clear separation of data. Small breaks between things.118
7354984466Include Units in...Key.119
7354993392Stem-and-LeafShows groups of data arranged by place value (Numerical Data).120
7355000598Split-Stem PlotsStems are listed multiple times to represent a range values. This method can be used with conjunction and truncation.121
73550133671 and 1 could also...Be listed as 1L and 1H.122
7355020115Comparative Stem and Leaf DiagramValues for two categories are listed on opposite sides of the stem. The characters must all have the same width.123
7355060217When Asked to Compare Different Plots it is Not Acceptable to...Simply list the values for each plot.124
7355065786When Asked to Compare Different Plots...Use comparative language.125
7355070634Comparative LanguageWider, more, higher, etc. Comments on center, shape, spread, and outlier or outliers.126
7355085672Skewed to the LeftMean < Median < Mode127
7355088406UnimodalOne peak in a distribution curve. A histogram with one peak (Mode).128
7355094384Skewed to the RightMean > Median > Mode129
7355113245Frequency DistributionAn arrangement of data that indicates how often a particular score or observation occurs. A summary chart, showing how frequently each of the various scores in a set of data occurs.130
7355530875Segmented Bar GraphUsed to compare the distribution of a categorical variable in each of several groups. Distribution of each category within each variable.131
7355541172Create and Interpret Graphs for Categorical DataBar graphs, segmented bar graphs, and pie or circle charts.132
7355559639Create and Interpret Graphs for Numerical DataStemplots and histograms.133
7355567695Create and Interpret Graphs of Bivariate Numerical DataScatterplots and time series plots.134
7355587595Displaying Categorical DataPie charts, segmented bar charts, and comparative bar charts.135
7355757001Numeric DataDot plots. Any number that can be used in a mathematical calculation.136
7422097384TyphoonsTropical storms in the Pacific Ocean with sustained winds that exceed 74 miles per hour. A violent tropical storm that forms in the Pacific Ocean, usually in late summer.137
7422117820A Moving Average for Data Collected at Regular Time IncrementsThe average of data values for two or more consecutive increments.138
7422172650ContextWords, events, or circumstances that help determine meaning. The circumstances, atmosphere, attitudes, and events surrounding a text.139
7422191250CompareFind likenesses. A type of thinking. To examine the similarities and/or differences.140
7422209519Dot PlotsAllows one to easily compare distributions. A graph where dots that represent the value of data are plotted above a number line.141
7422240523Display Bivariate Numerical DataScatter plots and analysis and time-series plots and analysis.142
7422250065Scatterplot(x,y) Coordinate graph.143
7422256783Time-Series PlotWhen one of the numeric variables is a measure of time.144
7422272964Points on a Scatterplot should Never be...Connected145
7422280839Points on a Time-Series Plot can be...Connected146
7422286122Scatterplot AnalysisPattern, strength, direction, and interesting or strange points.147
7422298220PatternLinear, curved, exponential, and cyclical. The geometric or regular arrangement of something in a study area.148
7422303925StrengthPoints are clustered or spread out. Intensity149
7422313267Points are Clustered or Spread OutStrong, moderate, or weak.150
7422320004DirectionUpward or downward. A course along which someone or something moves.151
7422328776UpwardPositive association. In a higher direction.152
7422333231DownwardNegative association. Going down.153
7422341186Interesting or Strange PointsBe prepared to interpret these points in the context of the scatter plot.154
7422348985Time-Series AnalysisPatterns in historical data yield information for use in analyzing trends.155
7422357888Perfect Positive CorrelationOne variable increases, other also increases.156
7422563024Relative Frequency Bar ChartReplace the counts with percentages. A bar chart in terms of percentages that displays relative proportions of each category.157
7422694372Stem PlotSimilar to a histogram, but the individual values are mentioned. A data display that shows groups of data arranged by place value.158
7422703177ComparativeBack-to-back159
7422712962Display Numerical DataFrequency distributions and histograms.160
7784824734Regression LineLine of best fit. Best fitting line that minimizes the differences between scores.161
7784834940SlopeThe steepness of a line on a graph. Rise over run.162
7784837975y-InterceptThe y-coordinate of a point where a graph crosses the y-axis. Where the line crosses the y axis.163
7784865468ScatterplotsA graphed cluster of dots which represents the values of two variables. Quantitative164
7784874840Correlation CoefficientA statistical index of the relationship between two things (from -1 to +1).165
7784880101ResidualsThe difference between an observed y-value and its predicted y-value on a regression line. Distance between observed values of y and predicted values of y.166
7784892563NonlinearIf data does not form a straight line when graphed. Motion along a curved path.167
7784904170CorrelationA mutual relationship or connection between two or more things. A measure of the relationship between two variables.168
7784911880Strong Positive Correlationr ≥ +0.70169
7784915588PredictorIndependent variable. Something that tells what is likely to happen in the future.170
7784925956ConstantA value that does not change. A term without a variable.171
7784932895Coef.Coefficient172
7784937113StDevStandard Deviation and sq. rt. of the variance.173
7784947804R-SqR-value Squared.174
7784959573Least Squares Regression LineThe line that makes the sum of the squared residuals as small as possible. Of y on x.175
7784978092Residual PlotA scatterplot of the regression residuals against the explanatory variable.176
7784983234Fitted ValuesPredicted scores.177
7784988376OutlierA value much greater or much less than the others in a data set. A data value that is either much greater or much less than the median.178
7785000984Influential PointAn outlier that, if removing it, drastically changes the correlation. When a point is omitted from data and makes the regression model very different.179
7785005714Linearly RelatedWhen the graphs of the relationships of variables are straight lines.180
7785025558LinearityFor all levels of the IV the population means of the DV all fall on a straight line.181
7785034199IVIndependent variable.182
7785036807DVDependent variable. Variable whose value changes in response to another value.183
7785044158Linear RegressionAn algorithm to find a precise line of fit for a set of data. A line of best fit.184
7785055138Nonlinear Relationships and TransformationsPolynomial regression and transformations of data to perform a linear regression.185
7785062762Polynomial RegressionCan be used to fit a curve. The type of regression would depend on an overall shape, but any equation would be of a certain form.186
7785080857Some Graphs have...A definite polynomial curve associated with them.187
7785092948R^2Used as the coefficient of determination. It is the proportion of variation that can be explained by an appropriate relationship between x and y.188
7785108498Approximate Relationships between x and yQuadratic, cubic, etc.189
7785122030The Type of Regression would Depend on...Overall shape.190
7785125842Types of RegressionQuadratic, cubic, or higher power. Linear, multiple linear, nonlinear, or logistical.191
7785133211Polynomial Regression Equationy hat = a + (b subscript 1)x + (b subscript 2)(x^2) + (b subscript 3)(x^3) + ... + (b of k))(x^k)192
7785152019After Performing a Regression...Always recheck the residual plot to look for patterns or irregularities.193
7785175385Transformations for LinearityUsed to fit a curve that isn't linear or polynomial in nature by transforming the x values and/or y values so that a scatterplot of the transformed data has a linear appearance. Then, this allows a linear regression to be found and creates an equation using the reexpression and the linear regression.194
7785189271Transforming the x Values and/or y ValuesAlso called reexpression.195
7785210518x's and y's can be Reexpressed by...Taking their square root, taking the log or ln, taking the reciprocal, or take them to a power.196
7785224750Standard ErrorThe standard deviation of a sampling distribution. The standard deviation of a point estimator.197
7785243410sTypical error.198
7785268085Summarizing Bivariate DataPearson correlation coefficient quantification and the sum of z of x times z of y.199
7785278016Pearson Correlation CoefficientWill quantify the linear relationship between two quantitative variables. Measure of association used with continuous variables.200
7785284792Strong Negative Relationshipr close to -1. Correlation coefficient is close to -1.201
7785296280SSToSum of Squares Total. SSR+SSE202
7785328975SSResidTotal sum of residuals squared sum of y-predicted squared. Sum of all the squared residual values.203
7785338459SSTo and SSResidGenerally found as part of the standard and output from most statistical packages or can be obtained using the following computational formulas.204
7785347668Coefficient of DeterminationDenoted by r^2, gives the proportion of variation in y that can be attributed to an approximate linear relationship between x and y. The fraction of the variation in the values of y that is explained by the lsrl of y on x.205
7785364882lsrlLeast squares regression line. Line in a scatter plot.206
77853717221 - (r^2)An important value. It represents the proportion of variation in y that cannot be attributed to variation in x, it is the proportion of variation due to some other factor or factors. This is important in the interpretation of the regression.207
7785392061The Proportion of Variation Due to Some Other FactorsThought of as lurking variables.208
7785404610r^21 - (SSResid / SSTo) Percentage of the variation in y can be explained by x.209
7785416656nNumber and sample size. Sometimes can be population size.210
8549472608Data AnalysisA process of describing data using graphs and numerical summaries. The process arranging data to show trends or give meaningful insight.211
8549482658Statistical StudiesObservation and experimentation.212
8549490182SamplingProcess by which participants are selected. The process of selecting representative units from a total population.213
8549495822Experimental DesignThe plan for a controlled experiment. Methodology by which an experiment will seek to support the hypothesis.214
8549503093Observational StudiesDesigning surveys or systematically assessing and coding observable behavior. Participants can live out their normal lives and report these activities to researchers.215
8549508929Designing SurveysOptional216
8549519091Displaying Numerical DataStem-and-Leaf displays, frequency distributions, and histograms.217
8549538317ProbabilityA number that describes how likely it is that an event will occur. The likelihood that a particular event will occur.218
8549552010Basic Properties of ProbabilityIf E and F are disjoint P(E U F) = P(E) + P(F).219
8549560309Conditional ProbabilityThe probability that an event will occur given that one or more other events have occurred. The probability of an event (A), given that another (B) has already occurred.220
8549562742Random VariablesNumerical outcome of a random phenomenon. Variables whose values are determined by chance.221
8549572138Probability DistributionsListings of possible outcomes or events with a probability assigned to each outcome. A way of matching outcomes with their probabilities of success.222
8549576483Normal DistributionsType of continuous probability distribution. Bell curve shape dependent upon mean and standard deviation; deviations follow the Empirical Rule.223
8549590538Sampling VariabilityThe natural tendency of randomly drawn samples to differ, one from another. The value of a statistics vary in repeated random sampling.224
8549598089Sampling DistributionsDistributions of sample statistics such as means and proportions. The pattern of values of the sample statistic in many samples from the same population.225

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