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Conditional Probability and Probability of Simultaneous Events

This site provides applets, lessons, and objectives for learning about conditional probability. The applet activity introduces multiple-outcomes events and computing probabilities.
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Date Of Record Creation 2005-06-17 15:06:00
Date Last Modified 2005-06-17 15:06:00
Date Of Record Release 2005-06-17 15:06:00
Alternate Title Generating and Analyzing Data
Source http://illuminations.nctm.org
Relation Centers for Disease Control and Prevention
Email Address webmaster@shodor.org
Date Issued 2005
Resource Type
Audience
Format
Typical Learning Time 4 lessons
Author Name Shodor Education Foundation, Inc.
Author Organization Utah State University
General Comments Dead Link
Technical Requirements Computer with Internet
Comments The trial analogy is good for definining and differentiating between Type I and Type II errors; however, the analogy becomes awkward and labored as it continues to be used to define and illustrate the probabilities of these errors. It is probably better to switch to an actual statistical hypothesis test (a familiar one from a homework assignment) to explain and illustrate alpha and beta.
Content Quality (Concerns) The graph window is a little deceiving with respect to the minimum and maximum numbers on the graph. The boxes for the these values are extremely large and can make reading the graph somewhat difficult. This applet also uses a somewhat unusual definition of outliers by marking them at 1.9 times the standard deviation of the residuals. This is somewhat non-standard and may not match what is given in many texts.
Content Quality (Strengths) The presentation of material is well organized and provides easy access from one screen to the next. Pop-up displays provide useful assistance to students who enter incorrect information. The material has a good amount of flexibility in the amount of content students can explore. Students may choose if they want to test for significant correlation coefficient or if there are any outliers present in the data.
Ease of Use (Concerns) The last screen dealing with outliers is a bit busy and could potentially be confusing to students. The applet allows the students to move from screen to screen and back again. However, if the student forgets to put in a data point (or just wanted to add an extra one), all previous information may be lost.
Ease of Use (Strengths) The applet is well organized, and it is easy to maneuver from one screen to the next. The pop-up displays provide clear messages, and provides assistance and guidance to the student.
Potential Effectiveness (Concerns) This applet covers a very large range of material in a relatively short time period. Going from a beginning introduction of regression up through SSE and standard deviation of residuals in one sitting may be overwhelming for many students. Instructors may wish to give students a detailed assignment sheet that breaks the material up into sections and helps them track their learning. Instructors may also use this applet in class where instructors can provide details to the students.
Potential Effectiveness (Strengths) The applet coaches students through many important topics in linear regression. The applet promotes students' interaction and helps develop an understanding of linear regression.
Content Quality (Rating) 5
Ease of Use (Rating) 5
Potential Effectiveness (Rating) 4
Source Code Available 1
Material Type
Statistical Topic
Application Area
Copyrights
Cost involved with use
Intended User Role
Math Level

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