Categorical Data
1 hr 20 min 13 Examples
- Introduction to Video: Understanding Data
- Overview of Statistics, Element, Variable, Data, Inference, and Descriptive Stat
- Types of Data: Categorical, Quantitative Discrete, and Quantitative Continuous
- Identify the type of data presented (Problems #1-10)
- Understanding data distribution and how to display categorical data
- Given exam scores create a frequency table, relative frequency table, and cumulative frequency table (Problem #11a-c)
- Given exam scores create a pie chart and bar graph (Problem #11d-e)
- Overview of Contingency tables, join frequency, marginal frequency and marginal and conditional distribution
- Given two-way table find totals, relative frequency, and marginal frequencies (Problem #12a-e)
- Given two-way table find conditional distribution tables (Problem #12f)
- Given contingency table find relative and marginal frequencies and side-by-side bar graph comparing the data (Problem #13)
Quantitative Data
1 hr 12 min 13 Examples
- Introduction to Video: Displaying Quantitative Data
- Overview of Univariate, Bivariate, Multivariate Data and Dot plots with Examples #1-2
- Creating Stem-and-Leaf Plots with Examples #3-5
- Create a back-to-back stem plot (Example #6)
- Overview of how to create a Histogram using frequencies, relative frequencies and cumulative frequencies (Example #7)
- Create a histogram given the data set (Examples #8-9)
- Graphically display of a distribution important features, acronym, and understanding skewed distributions
- Describe the distribution (Examples #10-13)
Measures Of Center
1 hr 08 min 10 Examples
- Introduction to Video: Measuring Center
- How do we find the Range, Mean, Median and Mode? with Example 1
- How do we find the IQR? (Examples #2-3)
- How do we use the IQR to determine Outliers? (Example #4)
- Creating Box Plots and finding 5-summary statistics (Example #5)
- Create a box and whisker plot and identify outliers (Example #6)
- Describe the distribution given a box-plot (Example #7)
- Finding Variance and Standard Deviation (Example #8)
- Find all the measures of center of spread and determine which measures of center should be used for a given distribution (Examples #9-10)
Cumulative Frequency
1 hr 03 min 11 Examples
- Introduction to Video: Describing Locations in Distributions
- What are percentiles and how to find them? (Examples #1-2)
- Overview of Cumulative Relative Frequency (Ogive) Graphs
- Create an Ogive Graph and interpret your results (Example #3)
- Understanding Cumulative Relative Frequency and Skewed Distributions
- How do we standardize distributions? Finding standard values (z-scores) for data
- Find the z-score or use the z-score to find the observed value (Examples #4-6)
- How do we transform datasets and what does it do to the center, spread and shape?
- What is a density curve? What are the properties of a density curve?
- Given a density curve, determine the location of the mean, median and mode (Examples #7-10)
- Given sample data find stemplot, percentiles, z-score, summary statistics, and transform data (Example #11)
Normal Distribution
57 min 5 Examples
- Introduction to Video: Normal Distributions Review
- Properties of Normal Distributions and Approximating using the Empirical Rule
- Use the 68-95-99.7 Rule to find desired percentages (Examples #1-2)
- Standard Normal Distributions (Example #3)
- Use the standard normal distribution to find percentages (Example #4)
- Find the mean and standard deviation using the standard normal distribution and systems of equations (Example #5)
Sampling Methods
40 min 5 Examples
- Introduction to Video: Sampling and Surveys
- Overview of Population, Sample, Surveys, Bias, and Bad Sampling
- What are the four types of Sampling Bias and what makes for Good Sampling?
- Identify the population, sample and bias (Example #1)
- Using a Table of Random Digits, create a sample (Example #2)
- What type of sampling (SRS, Cluster Sampling, Stratified Sampling, Systematic Sampling) is being used (Example #3)
- Identifying wording bias (Example #4)
- Determine whether the numerical value is a parameter or a statistic (Example #5)
Experimental Design
1 hr 06 min 11 Examples
- Introduction to Video: Experiments
- Observational Study vs Experimental Study and Response and Explanatory Variables (Examples #1-4)
- Identify the response and explanatory variables and the experimental units and treatment (Examples #5-6)
- Introduction of lurking variables and confounding with ice cream and homicide example
- Lurking variables, Confounding, Placebo Effect, Single Blind and Double Blind Experiments (Example #7)
- What was the placebo effect and was the experiment single or double blind? (Example #8)
- Characteristics of a well designed and constructed experiment that is statistically significant
- Overview of Complete Randomized Design, Block Design and Matched Pair Design
- Design and experiment using complete randomized design or a block design (Examples #9-10)
- Identify the response and explanatory variables, experimental units, lurking variables, and design an experiment to test a new drug (Example #11)
Chapter Test
1 hr 59 min 22 Problems
- Identify as Categorical or Quantitative (Problem 1)
- Create dot plot, stem-plot, histogram and approximate shape and center (Problem 2)
- Identify summary statistics and any outliers, create box plot, and describe the distribution(Problem 3)
- Given the two-way table find marginal values and conditional distributions (Problem 4)
- Sketch the normal distribution, find z-scores, and determine probabilities (Problem 5)
- Using the cumulative frequency graph (Ogive graph) determine the percentiles (Problem 6)
- For the following scenario determine the statistic, parameter, population, sample and parameter of interest (Problem 7)
- Design a completely random experiment, an experiment using blocking, and determine any lurking variables (Problem 8)
- Given a survey determine population and statistic and any potential problems (Problem 9)
- Explain how to use a line of random digits to select a simple random sample (Problem 10)
- Complete a two-way frequency table and determine probabilities (Problem 11)
- Using a bar graph create a contingency table and determine probabilities (Problem 12)
- Determine the type of bias (Problem 13)
- For the following scenario would you use the mean or median to determine center? (Problem 14)
- Determine True or False (Problems #15-22)