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SpectacularDream621

Uploaded by SpectacularDream621

Glenforest Secondary School

madi

Tags

statistical analysis data analysis research methods education

Summary

This document contains chapter summaries from an introductory statistics course. It covers different types of data, variability in data, interpreting data, and sampling methods. Numerous example types are presented, along with considerations for bias in data collection and analysis.

Full Transcript

# Chapter 5.1 - **Numerical Data (Quantitative)** = Data in the form of any number, **ex. weight**. - **Categorical Data (Qualitative)** = Data sorted into groups or categories, **ex. eye colour**. - **Continuous Data** = Decimal #’s, **ex. weight**. - **Discrete Data** = Specific values (whole #’s...

# Chapter 5.1 - **Numerical Data (Quantitative)** = Data in the form of any number, **ex. weight**. - **Categorical Data (Qualitative)** = Data sorted into groups or categories, **ex. eye colour**. - **Continuous Data** = Decimal #’s, **ex. weight**. - **Discrete Data** = Specific values (whole #’s), **ex. eye colour**. ## Types of Categorical Data: - **Ordinal Data** = Qualitative data that can be ranked, **ex. poor, fair, good, etc.** - **Nominal Data** = Qualitative data that can’t be ranked, **ex. eye colour.** ## Variability in Data - Variability in data can occur due to errors in measurement or varying conditions in experiments. ## Interpreting Data - Different people can interpret data in different ways. ## Data Collection - Collect data on more than one variable to see if there’s a relationship between them. # Chapter 5.2 - **Population** = All beings studied. - **Sample** = People elected from a population. - **Variability** = Shows how samples differ from each other. - The more similar the samples are to each other, the lower the variability and the more accurate the samples represent the population. - **Sample selection must be random.** ## Sampling Methods - **Simple Random** - Randomly choose a specific # of people. - Examples: Stratified and systematic. - **Systematic** - Put population in an ordered list and choose people @ regular intervals. - **Stratified** - Divide sample into groups with the same proportions as those groups in the population. - Time & cost efficient. - **Cluster** - Divide population into groups and choose a few groups to survey. - **Multistage** - Divide population into a hierarchy and randomly choose people from each group to survey, **ex. Gr1, Gr2, Gr3, Gr4.** - **Convenience** - Choose easily accessible people from population. - **Advantages:** Gives unreliable results because it omits large portions of population. - **Disadvantages:** Cheap to conduct. # Chapter 5.3 ## Types of Experiments: Observational and Experimental: - **Observational** - Look @ situations and make inferences, **ex. Window of classroom closed.** - **Experimental** - Controlled environment, **ex. medicine.** ## Experiment Groups - **Treatment Group** = Participants receive a specifically measured! treatment. - **Control Group** = Participants don’t get the treatment and are compared to the treatment group. ## Advantages of Experimental Studies - In an experimental study, there’s a greater chance of determining the cause of a particular behaviour. ## 3 Things Needed to Occur To Determine Cause: - **Control:** If there’s an effect, researchers must ensure the effect is not caused by bias in any group. - **Randomization,** so each group has similar demographics. - **Replication:** Should have similar demographics. ## Bias - Bias= can occur cause of sampling technique or data collection method. - **Surveys** are less controlled than experiments. - **No opinion** - **Surveys should be anonymous, but can ask for specific demographic info.** - **Surveys should be clear, concise and free of bias.** # Chapter 5.4 - **Primary Source Data:** When you collect and analyze data not summarized or manipulated. - **Microdata:** Individual responses in a survey. - **Secondary Source Data:** Data used by someone other than those who actually collected them. - Usually aggregate data = data that’s combined and summarized so that the microdata can no longer be determined. # Chapter 5.5 ## Bias - **Response Bias:** When respondents change their answers to influence the results, to avoid embarrassment or to give the answer the questioner wants. - **Sampling Bias:** When the sample doesn’t represent the population. **Ex. gym survey**. - **Measurement Bias:** When the collection method is such that the characteristics are consistently over or under represented. - **Leading question:** Or multiple choices are too limiting to give an honest answer. - **Non-response Bias:** Not many people respond and those who do, have very strong opinions on the subject. **Ex. small sample**. ## Different Ways of Displaying Data - Different ways of displaying data can distort it or make it biased.

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