Stat 1000: Assignment 5 Tips (Distance/Online Sections)

Published: Wed, 02/13/13


 
My tips for Assignment 5 are coming below, but first a couple of announcements.
 
Please note that my second two-day review seminar for Stat 1000 will be on Saturday, Mar. 9 and Sunday, Mar. 10, in room 100 St. Paul's College, from 9 am to 6 pm each day.  This seminar will cover the lessons in Volume 2 of my book.  
 
For more info about the seminar, and to register if you have not done so already, click this link:
Stat 1000 Exam Prep Seminar 
 
I am also taking registrations for all my midterm exam prep seminars (Calculus, Linear Algebra, and Statistics).  Please click this link for more info and to register, if you are interested:
Grant's Exam Prep Seminars 
 
Did you read my Tips on How to Do Well in this Course? 
Make sure you do:  Tips on How to Do Well in Stat 1000 
 
Did you read my Tips on what kind of calculator you should get?
Tips on what calculator to buy for Statistics
 
Did you miss my Tips for Assignment 4?
Tips for Stat 1000 Distance Assignment 4
 
If you are taking the course by Classroom Lecture (Sections A01, A02, etc.), I will send tips for Assignment 5 once it is posted.
 
Tips for Assignment 5 (Distance/Online Sections D01, D02, D03, etc.)
  
Don't have my book?  You can download a free sample containing Lesson 1 at my website here:
Grant's Tutoring Study Guides (Including Free Samples)
 
Study Lesson 3: Designing Samples and Experiments in the current edition of my book, if you have it, to prepare for this assignment. Note that, in older editions of my study book, this was Lesson 4.
 
You will need Table B to help answer some of the questions on this assignment.  That is in the textbook or can be downloaded from the resources section of  WebAssign.  Here is a link where you can download the table immediately, if you prefer:
Table B 
 
Thankfully, there is no JMP needed for this stuff.
 
Question 1.  Be sure to read my section teaching the different types of experimental design (from question 6 to the end in Lesson 3 of my book) for some ideas on how to answer this question. Make sure you are telling them you are doing things randomly.  I don't think you have to get into the specifics of how you would randomize, though.  When you are asked to compare your designs, discuss which one you think is better at controlling outside factors, which one has more replications (how many units are receiving each treatment?), and so on.
 
Question 2 is a discussion of the various principles of randomness.  Note that, if something is truly random, you will never know what will happen next.  You cannot say, "such and such will definitely happen, will definitely not happen, or that the probability of something happening has now changed because of what has already happened."  If that were true, the event would not truly be random. 
 
Here is a handy trick to count numbers.  The highest two-digit number is 99; add one more for 00 and that tells you there are 100 two-digit numbers (00, 01, 02, ... 98, 99).  Because there are 100 two-digit numbers, every single one of them has an equal chance of occurring at any moment in a random number generator: a 1/100 chance.
 
The highest three-digit number is 999; add one more for 000 and that tells you you have 1,000 three-digit numbers (000, 001, 002, ... 998, 999).  Each number has a 1/1,000 chance of occurring at any moment.
 
The highest six-digit number is 999,999; add one for 000,000 and you have a total of one million six-digit numbers, each with a 1/1,000,000 chance of occurring.
 
Question 3 is basic stuff about factors and treatments as I teach in the latter half of Lesson 3 (from question 6 to the end).  They just want you to tell them how many factors, treatments, experimental units or subjects there are.
 
Question 4 can be frustrating because you don't know whether you are to describe what is definitely being done in your example, or what you also assume should be done.  I recommend you first select the options you are certain have been done, and, if they mark you wrong, add other options that you think might have been done, and cross your fingers.  Remember the three principles of experimental design while you answer this question: randomization, replication (or repetition), and control of outside factors.  Note, if an experimenter does the same treatment at least twice, that is replication.  Note that, if the option isn't even one of the three principles of experimental design, it can't be a choice; however, some of the options are specific methods of controlling outside factors which are valid choices if the experiment appears to be using them.
 
Question 5
They want two diagrams in this problem.  A table that shows how you are determining the treatments (like my question 7(b) in Lesson 3) and then an arrow chart of the experiment.  Make sure you don't forget to answer part (b) of their question in your document also.
 
To draw one of those arrow charts and upload it, there are many ways to do it and it depends on how fancy you want to get and what program you are using.  A pretty simple way might be to insert a table into your document (In Word, select Insert, and choose Table) and give yourself lots of rows and columns to work with (I'd say at least 4 columns and 5 rows; you can always add extra rows if you need them by just pressing the Tab button when your curser is in the last cell of the last row).  You could also use a spread sheet program like Excel.
 
Type in the various words you want in the approximate positions throughout the table.  To connect words together with arrows insert arrows (in Word or Excel, select Insert, Shape, and select the Arrow).  You then use your mouse to click where you want the arrow to start and where you want it to stop.  Get rid of the lines on your table by right-clicking your mouse while pointing anywhere in the table and selecting Table Properties.  Then, select Borders and Shading and select None.  Don't get rid of the lines until you have made your whole chart since the lines will help you place your words throughout.
 
By the way, I show you how to make a table in question 7 to identify the treatments needed for a two-factor experiment.  When you have a three-factor experiment, make a table for just two of the factors first, then, give all of those treatments to the first level of the third factor.  (That is what they mean by you can just show the first half that uses Metal Rollers).  You then give those exact same treatments to the second level of the third factor (Natural-Bristle Rollers in your case), and so on, until you have used all the levels of the third factor.  Make sure you number the treatments in each cell of your table, and if you have to make two or more tables, use different treatment numbers for each cell.
 
Here is a link where you can download my Word document teaching my question 7(b).  Perhaps you will find this helpful in making the charts your question requires.  You can double-click the various parts to edit the text as required or delete things completely:
Lesson 3: Question 7(b) 
 
You are now ready to save and upload the file that answers parts (a) and (b).  In your Word document (or whatever program you are using), select "File" then "Save As" and select "PDF File".  Type in whatever name you want the file to have in the "File name" section. Select which folder you want to save the file in (I suggest you select "Desktop" so that the file will just appear write on your desktop home screen.  Click "Save" or "Publish".  You should now have your file ready to upload into the assignment.