Difference between revisions of "SOCR EduMaterials Activities ConfidenceIntervals"
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== URL Go to: http://www.socr.ucla.edu/htmls/SOCR_Experiments.html == | == URL Go to: http://www.socr.ucla.edu/htmls/SOCR_Experiments.html == | ||
| − | * To begin: Choose the Confidence Interval Experiment. In this [[Help_pages_for_SOCR_Experiments | experiment]] you will investigate the emperical properties of the sample-size, confidence level, the size of the constructed confidence interval and the practical utilization of Confidence Intervals in statistical data analysis | + | * '''To begin''': Choose the Confidence Interval (CI) Experiment. In this [[Help_pages_for_SOCR_Experiments | experiment]] you will investigate the emperical properties of the sample-size, confidence level, the size of the constructed confidence interval and the practical utilization of Confidence Intervals in statistical data analysis |
<center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig1.jpg|300px]]</center> | <center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig1.jpg|300px]]</center> | ||
| − | * Exercise 1: | + | * '''Exercise 1''': Chose the confidence level (<math>\alpha</math>), the sample-size and the number of experiments (see the image below). Click on the <nowiki><STEP></nowiki> button - this performs one set of experiments (20 in this case). Each experiment consist of generating a random sample of the given size (5, in this case) from the standard Normal Distribution, N(0,1). The samples along with the constructed confidence intervals are then displayed. Notice the ixperiments that have a green dot below the corresponding confidence intervals. These are the cases where the <i>parameter</i> being estimated by the confidence interval (population mean, in this case) is outside the corresponding confidence interval (above the right-CI-limit, or below the left-CI-limit). |
| + | |||
| + | You can use the <nowiki><SHAPSHOT></nowiki> button to save as a JPEG image the state of your SOCR experiment on your local computer. The <nowiki><RUN></nowiki> allows you to sequantially run large number of sets of experiments (determined by the <nowiki><Number of Experiments></nowiki> selection) and monitor the results. Also, the text-area on the bottom of the applet summarizes the results of these sexperiments. | ||
<center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig2.jpg|300px]]</center> | <center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig2.jpg|300px]]</center> | ||
| − | * Question 1: | + | * '''Question 1''': Would you get the same results (what are the results?) if you did this again? If someone else did this? |
| − | * Exercise 2: | + | * '''Exercise 2''': |
<center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig3.jpg|300px]]</center> | <center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig3.jpg|300px]]</center> | ||
| − | * Question 2: Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation? | + | * '''Question 2''': Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation? |
| − | * Exercise 3: | + | * '''Exercise 3''': |
<center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig4.jpg|300px]]</center> | <center>[[Image:SOCR_Activities_CI_Dinov_092206_Fig4.jpg|300px]]</center> | ||
| − | * Question 3: Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation? | + | * '''Question 3''': Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation? |
Revision as of 14:39, 22 September 2006
SOCR Educational Materials - Activities - SOCR COnfidence Intervals Activity
URL Go to: http://www.socr.ucla.edu/htmls/SOCR_Experiments.html
- To begin: Choose the Confidence Interval (CI) Experiment. In this experiment you will investigate the emperical properties of the sample-size, confidence level, the size of the constructed confidence interval and the practical utilization of Confidence Intervals in statistical data analysis
- Exercise 1: Chose the confidence level (\(\alpha\)), the sample-size and the number of experiments (see the image below). Click on the <STEP> button - this performs one set of experiments (20 in this case). Each experiment consist of generating a random sample of the given size (5, in this case) from the standard Normal Distribution, N(0,1). The samples along with the constructed confidence intervals are then displayed. Notice the ixperiments that have a green dot below the corresponding confidence intervals. These are the cases where the parameter being estimated by the confidence interval (population mean, in this case) is outside the corresponding confidence interval (above the right-CI-limit, or below the left-CI-limit).
You can use the <SHAPSHOT> button to save as a JPEG image the state of your SOCR experiment on your local computer. The <RUN> allows you to sequantially run large number of sets of experiments (determined by the <Number of Experiments> selection) and monitor the results. Also, the text-area on the bottom of the applet summarizes the results of these sexperiments.
- Question 1: Would you get the same results (what are the results?) if you did this again? If someone else did this?
- Exercise 2:
- Question 2: Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation?
- Exercise 3:
- Question 3: Compare the Mean of the theoretical distribution of the X variable and that of the Mean of the distribution of the (the distribution of the M). These are theoretical means. What is their relation?
- SOCR Home page: http://www.socr.ucla.edu
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