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Statistics Tutoring

WHERE STATISTICS HELP IS AS CLOSE AS THE INTERNET


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Significance Level and Power


If you want help with your undergraduate or graduate statistics course, please contact me (rab@nauticom.net). I'm available to answer your questions about probability and statistics and related subjects such as mathematical statistics, decision analysis, econometrics, economics, biostatistics, reliability, and so forth. Your questions will be answered step-by-step and in detail. Complex problems will be broken down into simpler pieces. See my other web pages for detailed information on my credentials.

For graduate students, I can provide statistics advice for planning the design of your masters thesis or Ph.D. dissertation.

I can also help you with programming in S , Minitab, SPSS, SAS, and data analysis using Excel. I use S-Plus by Statistical Sciences to do most statistical computations.

Send me your questions by e-mail and I'll respond in a timely manner. Alternatively, if you like we can arrange to work together at the same time. The solutions will be sent to you via e-mail and will include appropriate graphics to help illustrate how the problem is solved. To see an example, click here.


If you have a general question in calculus, vector calculus, rings/fields, group theory, discrete math, lie groups, linear algebra, or similar problems, contact Mathematics Consulting Services.


Don't have your t-table handy? You can use my Internet t-table.
On-line Statistics Reference Tables (t, F, and Chi-Square)



Free tutorial on finding probabilities using the Normal Probability Distribution:

Using the Normal Curve

If you are wrestling with normal curve problems in your statistics course, check out this free tutorial. Also includes a normal curve table to help solve the included homework problems. Download normtut.wp6 and normtab.wp6 (you may have to hold down the shift key when you click on the file names in order to save these files to your hard drive) or use your browser to go to ftp://ftp.nauticom.net/pub/users/rab. You can also ftp into ftp.nauticom.net using a shell (Unix, DOS, Amiga), logging in as "anonymous" (don't include the quotes) and your e-mail address as the password. Use the "cd" command to go to /pub/users/rab and use "get" to download the files. Click on the readme.txt file for further details.

More tutorials on other subjects are planned. If you have suggestions, feel free to e-mail them to me.

Next tutorial: Probability, Mutually Exclusive Events, and Statistical Independence.


Fee Schedule

$35/hour, time required depending on the problem. If you send me your questions I can give you a time and cost estimate.

(Please note that this fee applies ONLY to tutoring.)


Payment Methods: American Express, Visa, Mastercard, and Money Order

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I accept payment by American Express, Visa and Mastercard. Credit cards are billed after the work is completed. Using a credit card allows us to work together immediately. To use this method, please either fax, phone, or mail your credit card information to me. Please send your name and credit card billing address (including zipcode), your credit card type (American Express, Visa or Mastercard), and your card number. You can fax this information to: 412 922 9749, or let me know by e-mail you want to phone me the information. Please do not send the credit card information by e-mail because e-mail is not secure. You can also use regular mail to send me the information. Send to the same address as for money orders shown below.

Payment can also be made by money order sent to:

Richard A. Bilonick
P. O. Box 113564
Pittsburgh, PA 15241


Contact Me

Send e-mail to: rab@nauticom.net

You may also send your questions by fax to 412.922.9749 at any time.

Mailing Address:

Richard A. Bilonick
P. O. Box 113564
Pittsburgh, PA 15241

IMPORTANT! If you send me a fax, PLEASE also send me e-mail to notify me a fax was sent. Also, many times people contact me by e-mail but their return e-mail address is faulty for one reason or another. If you don't hear from me within three days, the chances are I either never received your e-mail or your return e-mail address was faulty. I usually check my e-mail several times a day and will acknowledge receipt of your request for tutoring ordinarily within a day (unless I'm out of town, then there might be a day or two delay). If you don't hear from me in a timely manner, please try contacting me again, either by fax or phone.


If you are interested in statistical consulting, please click here.

Statistical Consulting


If you would like to find easy-to-read books on statistics, quality control, or design of experiemnts, please click here.

Rick's Picks - Books for Statistics

Rick's Picks

Recommended Books on Statistics

Here is a list of books I personally recommend for people studying statistics. You can buy these books directly from Amazon.com by clicking on the book's link.

Click here to go to Book Store


Description of the Graph at the Top of This Page

The picture at the top of this page shows a large sample upper-tailed hypothesis test to compare means from two independent groups. The significance level is 5% and is denoted by the area in red under the null sampling distribution. The power for the particular alternative hypothesis (where the true mean difference is +2 standard deviation units) is denoted by the area in blue under the alternative sampling distribution. The vertical line that demarcates the critical region is x = 1.96 (just below the alternative mean difference of 2.00). Thus it is easy to see that the power for this alternative must be greater than 50%. As the significance level decreases (reducing the risk of a Type I error), the vertical line demarcating the critical region must move to the right and thus the power must also decrease.

This graph was drawn on a Silicon Graphics Inc. O2 Irix workstation using Maple V and GIMP was used to add the coloring and titles.


In the above graph, the black curve is the probability density function f(x) = 4x exp(-2x) for x > 0. The corresponding random variable has a mean of 1 and variance of 1/2. The portion of the normal pdf > 0 with the same mean and variance is drawn in red for comparison. The graph was drawn with Maple V.


Go to the Guest Book and send me your comments and suggestions.


Check on the activities of the Pittsburgh Chapter of the American Statistical Association.


This page was last modified on January 14, 1999

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Copyright © 1999 Richard A. Bilonick (rab@nauticom.net)