Statistics

Exploratory Analysis Research Methodology
Normal Distributions Probability and Randomness
Least Square Regression Lines Binomial and Geometric Distributions
Sampling, Surveys, Census and Experiments Confidence Intervals and Tests of Significance
Other Great Links Workshop Statistics

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Exploratory Analysis

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bulletSimpson's Paradox
bulletHow To Lie With Graphs
bulletHistogram Students can view histograms for either built-in or user-specified data, and experiment with how the size of the class intervals influences the perceptions. Parameters: Data sets, class sizes.
bulletPieChart Students view piecharts. Parameters: Number of sectors, size of sector as a percent. 
bulletCircle Graph Enter data categories and the value of each category to create a circle graph. Similar to "Pie Chart" but the user can define the data set. 
bulletBar Graph Enter data to create a bar graph, then manipulate the graph's maximum and minimum values. 
bulletStem and Leaf Plotter Students view stem-and-leaf plots of their data, and then get to practice finding means, medians and modes. Parameters:Data.
bulletBox plot 1 Students can create box plots which DO use the median in calculating the interquartile ranges for either built in or user-specified data as well as experiment with outliers. 
bulletBoxplot 2 Students can create box plots which DO NOT use the median in calculating the interquartile ranges for either built-in or user-specified data as well as experiment with outliers. 
bulletMeasures Students enter data and view the mean, median, variance and standard deviation of the data set. Parameters: Number of observations, range for observations, which statistics to view, identifiers for the data.
bulletPeanut Butter Fathom File

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Normal Distributions

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Normal Distribution Students can change the standard deviation of the graphed normal distribution to create a new distribution, allowing them to observe properties like how well the histogram fits the curve and how areas under the curve correspond to the probability that a number is selected. Parameters: standard deviation, number of trials, class intervals.

 

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Skew Distribution Students can change the median standard deviation of the graphed normal distribution to create a skewed distribution, allowing them to observe properties like what it means for the mean, median, and mode to be different. Parameters: median, standard deviation, number of trials, class intervals.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Least Square Regressions Lines

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bulletGeometer's Sketchpad LSRL Applet

 

 

 

 

 

 

 

 

 

 

 

 

Samples, Surveys, Census, and Experiments

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bulletNielson Media - How do TV rating systems work?
bulletStatistical Abstract of the United States - US Census
bulletThe Gallup Organization
bulletForest for the Trees Blocking Activity

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Research Methodology

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bulletInterests, Ideas, Theories Powerpoint
bulletThe Structure of Inquiry Powerpoint
bulletEthics in Research Powerpoint
bulletCola Experiment Powerpoint

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Binomial and Geometric Distributions
bulletSampling Distributions

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Confidence Intervals and Tests of Significance

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Rice Virtual Lab in Statistics

Sampling Distributions (applet)

Normal Approximation to the Binomial Distribution (applet)

Confidence Intervals (applet)

Type I and II Errors

bullet An Analogy with the Justice System
bulletThe Central Limit Theorem

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Probability and Randomness

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bulletLet's Make a Deal
bulletUnderstanding Experimental Probability  Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes. Appropriate for elementary grades.
bulletTwo Colors Applet Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
bulletMarbles Students learn about sampling with and without replacement by modeling drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
bulletSimple Monty Hall Students choose one of three doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Staying or switching between the two remaining doors.
bulletStock Exchange Students learn about expected value and payoff for an event that will occur with a known probability, by playing a game in which the payoff is earnings from stocks. Parameters: Probability of receiving cash, cash amounts, number of trials.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Other Great Links

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bulletChance News - Articles that use statistics poorly or well.
bulletChance Video Lecture Series - Recorded lectures by influential statisticians given at Dartmouth College
bulletJournal of Statistics Education - a great site which features statistical insight and bugaboos in the news.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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