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Comparing Two Samples (Quantitative)

Comparing Two Samples (Quantitative)

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My students are wrapping up the part of the course where we cover descriptive statistics. I gave them two sets of data (test scores from two different versions of the same exam) and they spent the day in class computing sample statistics and creating graphs for each sample. Their overall goal was to analyze their results and determine whether there was a significant difference between the two versions or not. Download a pdf of this activity Students compared measures of…

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Bootstrap – Matched Pairs

Bootstrap – Matched Pairs

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This week I began with a bootstrap project for a paired-difference/matched-pairs scenario. Download a pdf of the Project Here One of my goals is to get students working with data they have collected, so I had students collect prices for 25 identical items at two stores. We used this for one of the investigations. Investigation 1 A researched was investigating whether sons are taller than their fathers. My students were provided with 13 matched pairs. I had them find the…

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Bootstrap Method – Estimating a Population Mean

Bootstrap Method – Estimating a Population Mean

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Last week we did our third project that focuses on introducing inferential statistics earlier in the semester. Download the Activity (pdf) Here The bootstrap method repeatedly samples from a sample (with replacement) to help develop an interval estimate of any population parameter. For example, if there is a sample of 10 numerical values we select 10 values (with replacement) and compute the mean of that sample. We then repeat that process for a total of 1000 samples. We can then…

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Resampling – Two Population Proportions

Resampling – Two Population Proportions

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On day 7 of instruction in my intro statistics course we spent the class working through a project comparing two population proportions using resampling. Click here to download a pdf copy of the project: Two Proportion Resampling Hands-On First Mike Sullivan recommends a hands-on simulation before turning to the computers, so I began by using poker chips for this scenario: A random sample of 15 students at my college had 9 female students in it (60% female), while a random…

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Learning Catalytics for Turning In Class Assignments

Learning Catalytics for Turning In Class Assignments

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Last night my intro statistics students worked through an Interactive Reading Assignment for measures of central tendency. In class today they will be working with four data sets and computing various measures of central tendency. To collect their work I will run through a Learning Catalytics module asking them for certain specific answers. My plan is for students to work individually while consulting with each other. If they have different results it will be a great opportunity to check each…

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Simulation Activity for a Population Proportion

Simulation Activity for a Population Proportion

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As part of my effort to bring inferential statistics to the beginning of the semester I had students work through their first inferential project. This occurred on the sixth day of instruction. Simulation for a Population Proportion On the previous day we were going over different ways to display qualitative data (frequency tables, pie charts, bar charts). We created a pie chart for a sample of 60 students and it showed that two-thirds of those students were female. I asked…

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Statistics Classroom Activity for Sampling Techniques

Statistics Classroom Activity for Sampling Techniques

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This week I devoted a class period to sampling techniques (random, systematic, cluster, stratified, and convenience). Students worked on an Interactive Reading Assignment before coming to class, and I began class with a quick discussion of the different types and their strengths/weaknesses. After the discussion I followed up with a class activity designed to help students understand how to select a sample using the systematic sampling technique as well as introduce them to some of the sampling features of StatCrunch….

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#ICTCM16 – My Session & Schedule

#ICTCM16 – My Session & Schedule

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Looking forward to my session on the importance of student discovery in developmental math at ICTCM this weekend in Atlanta. I will be sharing innovative approaches for getting your students involved in the discovery of material. When students are engaged and thinking the chances for understanding and success dramatically increase. The session is on Saturday morning from 9-9:30. I will be walking through Interactive Statistics in the exhibitor’s room from 10-10:30 on Friday morning. This is the new product I…

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Simulations – #ICTCM15

Simulations – #ICTCM15

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I will be speaking about incorporating simulations early in an intro stats course to help students develop an intuitive understanding of inference well before we actually cover inference formally. I will be discussing two StatCrunch applets that I use. One is the Coin Flipping applet which allows students to simulate gathering samples of qualitative data. The second is a resampling applet that helps students to compare two means. I have added two assignments that I use in conjunction with these…

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