20809230Statistics for the Social Sciences
Course Information
Description
Students will develop statistical knowledge and skills through problem solving in the social sciences. Course components focus on measuring variables, measures of central tendencies, the utility of descriptive statistics, and introduction to inferential statistics and its predictive nature, the differences between samples and populations, and the increased capacity to read and display statistical information. Work is completed by hand and through statistical software.
Total Credits
4
Course Competencies
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Analyze the importance of statistics in everyday lifeAssessment StrategiesIn-class assignmentCriteriaEvaluate use of statistics in everyday lifeAnalyze the importance of statistics in the social sciences and the furthering of scientific knowledge
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Employ appropriate language in describing research dataAssessment StrategiesIn-class assignment and semester projectCriteriaInvestigate levels of measurement and levels and associationDifferentiate between population and sample dataDifferentiate between qualitative and quantitative dataExplain theories of samplingCompare descriptive statistics and inferential statisticsIdentify different methods for collecting data and their appropriate use
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Analyze data using calculator and appropriate software when availableAssessment StrategiesHomework and semester projectCriteriaCalculate solutions to exercisesDistinguish between variables and casesDefine new variables with appropriate labels and codesLabel new variables according to level of measurementCode data and enter data according to variable definitionsSave data file and send data file electronically
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Employ appropriate representations of sample dataAssessment StrategiesIn-class assignment and/or homeworkCriteriaGenerate a frequency list, by hand, showing both relative frequencies and cumulative frequencies from a given data setUse software to generate a frequency list showing both relative frequencies and cumulative frequencies from a given data setConstruct a table, bar chart, histogram, and scatter plot using frequency listDetermine appropriate representation of data given type of data and the use of representation
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Calculate measures of central tendencyAssessment StrategiesIn-class assignment, homework, quiz and/or examCriteriaCalculate the mean of a series of data pointsCalculate the median of a series of data pointsCalculate the mode of a series of data pointsDemonstrate the successful use of software to calculate central tendenciesUse mean, median, and mode given a set of data points
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Calculate measures of dispersionAssessment StrategiesIn-class assignment, homework, quiz and/or examCriteriaCalculate the range and interquartile range of a series of data pointsCalculate the standard deviation and variance of a series of data pointsDifferentiate between population and sample measures of dispersionDemonstrate the successful use of software to calculate measures of dispersionDemonstrate application of measures of dispersion
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Calculate and compare distributionsAssessment StrategiesIn-class assignment, homework, quiz and/or examCriteriaDemonstrate the concept of the Normal CurveCalculate Z scoresInterpret Z score distributions appropriately and accuratelyCompare and contrast distributions in respect to central tendenciesCompare and contrast distributions in respect to dispersionsInterpret differences of distributions in practical problems in the social sciences
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Recode data and create composite variablesAssessment StrategiesIn-class assignment and homeworkCriteriaRecode variablesCompare and contrast recoded variables with original variablesDetermine when and why to recode variablesConstruct composite variablesCompare and contrast composite variables with original variablesDetermine when and why to construct composite variablesInterpret the application of recoded and composite variables in practical problems in the social sciences
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Calculate probability, estimation, and differentiate inferential statisticsAssessment StrategiesIn-class assignment, homework, quiz and/or examCriteriaExplain the purpose behind inferential statistics in regards to generalizing from the sample to the populationDemonstrate randomized sampling and sampling techniquesDefine and identify sampling key terms such as population, sampling, parameter, statistic, probability sampling, and standard error of the meanDemonstrate two theorems involved in the sampling processDefine sampling distribution and its characteristicsShow competence in communicating various statistical symbols for distribution characteristics, such as sample mean, population mean, sample standard deviation, and population standard deviationDemonstrate understanding of estimationCalculate confidence intervals for sample means and for sample proportionsInterpret the application of confidence intervals and estimation in social science problems
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Test hypothesesAssessment StrategiesIn-class assignment, homework, quiz, and/or examCriteriaExplain the logic of hypothesis testingApply key terms, such as null hypothesis, alpha level and test statisticDescribe how and why one would “reject the null hypothesis”Describe the differences between one-tailed and two-tailed tests and when to apply one over the otherDifferentiate between Type I and Type II errorsTest, through calculation, significance of one sample case in terms of means and proportions in both small and large sample sizesTest, through calculation, significance of two sample case in terms of means and proportions in both small and large sample sizesTest, through calculation, hypotheses using analysis of variance and chi squareApply key concepts, such as population variance, various sum of square concepts, and the difference between statistical significance and importanceInterpret the application of ANOVA and Chi Square in social science problems
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Determine the factors of bivariate association and measures of associationAssessment StrategiesIn-class assignment, homework, quiz, and/or examCriteriaUse measures of association to describe and analyze importance of relationships compared to their statistical significanceDemonstrate purpose of bivariate tables in terms of defining associations between variables and distributionsDescribe association in terms of existence, strength, and pattern or directionCalculate percentages for a bivariate table and interpret resultsUse software to compute measures of association and successfully interpret results.Calculate Phi, Cramer’s V, and Lambda by hand and through SPSSIdentify the proportional reduction in errorDemonstrate measures of association at nominal, ordinal, and interval-ratio levels of analysisCalculate Gamma and Spearman’s RhoInterpret a scattergram in terms of a bivariate relationshipCalculate and interpret slope, Y intercept, and Pearson’s r and Pearson’s r2Calculate least-squares regression line and be able to use it to predict values of YDemonstrate total, explained, and unexplained variance in terms of bivariate relationship at interval-ratio levelUse software to calculate and interpret measures of association at interval-ratio levelUse software to calculate correlation matrix and successfully interpret resultsDemonstrate bivariate measures of association as applied to social science problems
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Correlate Variables in Multiple RegressionAssessment StrategiesIn-class assignment, homework, quiz and/or examCriteriaCalculate and interpret partial correlation coefficientsCalculate the least-squares multiple regression equation with partial slopes and be able to interpret resultsCalculate multiple correlation coefficient and interpret resultsDifferentiate between direct, spurious, and intervening relationships within multiple regression modelsPredict Y values within multiple regression modelDemonstrate multivariate measures of association as applied to social science problems
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Construct survey, complete analysis, and report resultsAssessment StrategiesSurvey, data collection with survey instrument, data analysis and written interpretationCriteriaConstruct a ten-item survey instrument focusing on topic given in classSurvey at least twenty respondentsCode survey instrumentDefine survey variables into software or spreadsheet and enter data from completed surveysComplete frequency distributions for variables, bivariate analysis, and construct a composite variableWrite an interpretation of results, including purpose of survey, proposed hypotheses, questions for future research, and provide at least one graphic display of results