STAT 2507A – Week 1

STAT 2507A – Week 1 -...

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1 STAT 2507A – Introduction to  Statistics, Week 1 Jerry Situ Introduction, 1.1 – 1.5  Summer 2009
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2 What is Statistics? “provides a solid foundation for informed  decisions”,  Statistics Canada Statistics can be defined as the scientific  methods used to help… 1. collect data 2. classify and summarize data  3. draw conclusions based on data  4. make rational decision
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3 An initiation story… “A theoretical mathematician and a statistician were situated in opposite corners of a square room. In another corner between the two men was a lovely young lady, waiting to offer her charms to whichever of them reached her first. Each man had to proceed toward the young lady one step at a time. And each step taken could cover only half the remaining distance between each man and the young woman. Upon hearing the rules, the theoretical mathematician left the room because he realized that it was impossible ever to get to the lovely young damsel. The statistician stayed and claimed the prize. While he too realized that it was impossible to reach her, he figured that he could get close enough for all practical purposes.” Statistics is about balancing pragmatism and science
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4 Terminology by example Hypothetical  Situation:  It is now  August 2009 and the  course has finished,  the marks of all 80  students in the class  are posted. Your  mark is 70. You want  to assess how good  your mark is. 65 68 72 67 91 72 68 64 91 70 71 71 54 74 75 74 61 54 59 81 73 77 72 69 60 66 63 65 76 86 72 81 79 72 83 68 59 75 69 62 79 60 96 67 10 49 72 76 73 70 54 66 84 66 76 87 86 84 68 58 80 58 70 79 68 5 71 74 87 61 77 72 78 66 66 81 68 69 57 60
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5  The Population:  is all units of  interest.  In the example, you want to  understand the marks of all  students in the class  so that you  can compare it to your mark.  The Sample:  is all a subset of units  selected from the population of  interest.  Reason for sampling: Cost,  time, destructive experiment, no  need for excessive accuracy 65 68 72 67 91 72 68 64 91 70 71 71 54 74 75 74 61 54 59 81 73 77 72 69 60 66 63 65 76 86 72 81 79 72 83 68 59 75 69 62 79 60 96 67 10 49 72 76 73 70 54 66 84 66 76 87 86 84 68 58 80 58 70 79 68 5 71 74 87 61 77 72 78 66 66 81 68 69 57 60 65 68 72 67 91 72 68 64 91 70 71 71 54 74 75 74 61 54 59 81 73 77 72 69 60 66 63 65 76 86 72 81 79 72 83 68 59 75 69 62 79 60 96 67 10 49 72 76 73 70 54 66 84 66 76 87 86 84 68 58 80 58 70 79 68 5 71 74 87 61 77 72 78 66 66 81 68 69 57 60
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6 Descriptive vs. Inferential  Statistics Descriptive statistics: summarizes and  describes the population Inferential statistics: using the sample to  “make inferences” (or make  conclusions) about the population.
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This note was uploaded on 05/24/2011 for the course STAT 2507 taught by Professor Masoudmollaalizadehnasari during the Summer '09 term at Carleton CA.

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STAT 2507A – Week 1 -...

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