Exam 1 Study Guide- Chapter 1 and 2 (1)

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Montgomery College *

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Statistics

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Feb 20, 2024

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Study Guide Chapter 1 and 2 Chapter 1: Collecting Data In Chapter 1, we learn about appropriate ways to collect data. A dataset consists of values for one or more variables that record or measure information for each of the cases in a sample or population. A variable is generally classified as either categorical , if it divides the data cases into groups, or quantitative , if it measures some numerical quantity. What we can infer about a population based on the data in a sample depends on the method of data collection. We try to collect a sample that is representative of the population and that avoids sampling bias. The most effective way to avoid sampling bias is to select a random sample. Also, we try to avoid other possible sources of bias by considering things like the wording of a question. Data collected to analyze a relationship between variables can come from an observational study or a randomized experiment. In an observational study, we need to be wary of confounding variables. The handling of different treatment groups in an experiment should be as similar as possible, with the use of blinding and/or a placebo treatment when appropriate. The only way to infer a causal association between variables statistically is through data obtained from a randomized experiment 1
Chapter 2: Describing Data In Chapter 2, we learn about methods to display and summarize data. We use statistical plots to display information and summary statistics to quantify aspects of that information. The type of visualization or statistic we use often depends on the types of variables (quantitative or categorical), as summarized below: Describing a Single Variable Quantitative variable Graphical display: dotplot, histogram, boxplot Summary statistics: Center: mean, median Other locations: maximum, minimum, first quartile, third quartile Spread: standard deviation, interquartile range, range Categorical variable Graphical display: bar chart, pie chart Summary statistics: frequency, relative frequency, proportion Describing a Relationship between Two Variables Quantitative vs Quantitative Graphical display: scatterplot Summary statistics: correlation, regression line Guide to choosing the appropriate method based on the variables 2
and number of categories: Variables Visualization One Categorical Bar chart, Pie chart One Quantitative Histogram, Dotplot, Boxplot Two Quantitative Scatterplot Terminology Cases and Variables Categorical and Quantitative Variables Samples from Populations Statistical Inference Sampling Bias Association 3
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Causation Confounding Variable Observational Studies and Experiments Randomized Experiment Proportion Outliers and Detection of Outliers Common Shapes for Distributions Mean, Median, Mode Using the Standard Deviation: The 95% Rule Five Number Summary Range and Interquartile Range Scatterplot Correlation Explanatory and Response Variables Least Squares Line and Residual 4