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Statistics Test 1

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Question
Answer
observation   is an individual entity in a study  
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variable   characteristic that may differ among individuals.  
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Sample data   subset of a larger population.  
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Population data   collected when all individuals in a population are measured.  
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statistic   a summary measure of sample data.  
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parameter   summary measure of population data.  
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categorical variables   consist of group or category names that don’t necessarily have a logical ordering. Examples: eye color, country of residence.  
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ordinal variables   Categorical variables for which the categories have a logical ordering Examples: highest educational degree earned, tee shirt size (S, M, L, XL).  
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quantitative variables   consist of numerical values taken on each individual. Examples: height, number of siblings.  
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explanatory variable and response variable   In general, the value of the explanatory variable for an individual is thought to partially explain the value of the response variable for that individual.  
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relative frequency distribution   is a listing of all categories along with their relative frequencies (given as proportions or percentages, for example).  
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A frequency distribution for a categorical variable   is a listing of all categories along with their frequencies (counts).  
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Bar Graphs   useful for summarizing one or two categorical variables and particularly useful for making comparisons when there are two categorical variables.  
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Pie Charts:   useful for summarizing a single categorical variable if not too many categories.  
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extremes   high and low  
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quartiles   medians of lower and upper halves of the values  
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Outliers   a data point that is not consistent with the bulk of the data  
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Shape   clumped in middle or on one end (more later)  
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Spread   variability e.g. difference between two extremes or two quartiles.  
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Location   center or average. e.g. median  
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Histograms   similar to bar graphs, used for any number of data values.  
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Stem-and-leaf plots and dotplots   present all individual values, useful for small to moderate sized data sets.  
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Boxplot or box-and-whisker plot   useful summary for comparing two or more groups.  
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To illustrate shape   histograms and stem-and-leaf plots are best.  
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To illustrate location and spread,   any of the pictures work well  
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see individual values   use stem-and-leaf plots and dotplots.  
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To sort values   use stem-and-leaf plots.  
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To identify outliers   using the standard definition, use a boxplot.  
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compare groups,   use side-by-side boxplots.  
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What would outliers do to the mean   High outliers will increase the mean. Low outliers will decrease the mean.  
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The Influence of Outliers on the Mean and Median   Larger influence on mean than median  
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Range   high value – low value  
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Interquartile Range (IQR) =   upper quartile – lower quartile  
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Q1 = lower quartile   median of data values that are below the median  
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Q3 = upper quartile   median of data values that are above the median  
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Quartile Percentiles   Lower quartile = 25th percentile Median = 50th percentile Upper quartile = 75th percentile  
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The greater the distance a value is from the center, the fewer individuals have that value   “bell-shaped”. A special case is called a normal distribution or normal curve.  
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Standard deviation   measures variability by summarizing how far individual data values are from the mean.  
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Descriptive Statistics   numerical and graphical summaries to characterize a data set or describe a relationship.  
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Inferential Statistics:   using sample information to make conclusions about a broader range of individuals than just those observed.  
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Population   the entire group of units about which inferences are to be made.  
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Sample   the smaller group of units actually measured or surveyed.  
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Census:   every unit in the population is measured or surveyed.  
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Simple Random Sample   every conceivable group of units of the required size from the population has the same chance to be the selected sample.  
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Sample Survey   a subgroup of a large population questioned on set of topics. Special type of observational study.Less costly and less time than a census.  
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Advantages of a Sample Survey over a Census   -Sometimes a Census Isn’t Possible when measurements destroy units -Speed especially if population is large -Accuracy devote resources to getting accurate sample results  
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Selection bias   occurs if method for selecting participants produces sample that does not represent the population of interest.  
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Nonparticipation bias (nonresponse bias)   occurs when a representative sample is chosen but a subset cannot be contacted or doesn’t respond.  
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Biased response or response bias   occurs when participants respond differently from how they truly feel  
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Stratified Random Sampling   Divide population of units into groups (called strata) and take a simple random sample from each of the strata.  
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Cluster Sampling   Divide population of units into groups (called clusters), take a random sample of clusters and measure only those items in these clusters.  
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Systematic Sampling   Order the population of units in some way, select one of first k units at random and then every kth unit thereafter.  
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Multistage Sampling   Using a combination of the sampling methods, at various stages.  
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Random-Digit Dialing   Method approximates a simple random sample of all households in the United States that have telephones.  
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