Statistics IBMS Week 1

8/14/2019 Statistics IBMS Week 1

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Welcome

Lecture statisticsWeek 1

Chapter 1 - 4


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Contents of the first lecture General information lectures statistics

Lecturer

Assessment Schedule of the homework assignments

Chapter 1-4 of the book


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General information lectures statistics Teaching

2 hour lecture

1 hour workshop Student activities

Study load

56 hours (2 EC)

Literature

Lind, Statistical techniques in Business and Economics


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Lecturer M. J. Feenstra

Stenden room 2.84

[email protected], tel.: 058-2441557


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AssessmentWritten exam

Participation in all lectures and workshops

Participation on Bello


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Schedule of the homework assignments Refer to Bello


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Chapter 1-4 of the bookStatisticsis the science ofcollecting, organizing,

presenting, analyzing, and interpreting numerical data

to assist in making more effective decisions.


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Students grade for statistics exam

Student Gender Grade

Rebecca F 6.8

Joe M 7.5

Jimmy M 4.7

Adrian M 5.9

Fiona F 7.5

Sara F 4.8


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Students grade for statistics exam

Student Gender Grade

Joe M 7.5

Fiona F 7.5

Rebecca F 6.8

Adrian M 5.9

Sara F 4.8

Jimmy M 4.7


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Presenting data

Mode = 7.5

Median = 6.4

Relativefrequency

Average grade

Male 0.500 6.0

Female 0.500 6.4


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Types of statistics Descriptive statistics

Organizing, summarizing and presenting data

Inferential statistics Estimate a property of a population using a sample

(subject of M7)


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Population vs sample


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Types of variables List examples

Differentiate between:

Qualitative variable (attribute) and Quantitativevariable

Discrete variable and continuous variable


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Levels of measurement Uses the before listed variables

Differentiate between:

Nominal Ordinal

Interval

Ratio


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Chapter 2

Frequency table

Brand mobilephone

Number sold Relativefrequency

Nokia 106 0.277

Sony Ericsson 56 0.147

Samsung 35 0.092

LG 29 0.076Others 156 0.408

Total 382 1.000


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Percentage bar chart


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Percentage pie chart


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Frequency distributionIs the data from a sample of a population?

KMs travel to work (N = 20)

1 12 12 32

12 3 15 12

15 5 17 35

96 4 41 21

25 1 42 45


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Frequency distributionKMs travelto work

Frequency Relativefrequency

Cumulativefrequency

Cumulativepercentage

0 - 20 km 12 0.600 12 0.600

20 - 40 km 4 0.200 16 0.80040 - 60 km 3 0.150 19 0.950

60 - 80 km 0 0.000 19 0.950

80 - 100 km 1 0.050 20 1.000


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Histogram


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Frequency polygon


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Cumulative frequency distribution


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Chapter 3Numerical measures

KMs travel to work (N = 20)

1 12 12 32

12 3 15 12

15 5 17 35

96 4 41 21

25 1 42 45


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Numerical measures Mean

Population mean

Sample meanArithmetic mean

Weighted mean

Geometric mean

Median

Mode


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Population and sample mean

Example: population mean

KMs travel to work:

X / N = 446 / 20 = 22.3 km


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Arithmetic mean Use interval or ratio data

Include all values

Unique mean Sum al the deviations is zero


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Arithmetic mean of grouped data

Arithmetic mean = fM / n = 480 / 20 = 24 km

KMs travelto work

Frequency (f) Midpoint (M) fM

0 - 20 km 12 10 120

20 - 40 km 4 30 12040 - 60 km 3 50 150

60 - 80 km 0 70 0

80 - 100 km 1 90 90

Total 20 480


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Weighted mean Limited options

Chosen more than once

3 types of mobile phones: 59, 149 and 449 euro

Sold 2, 1 and 3 times

Mean = 59 + 59 + 149 + 449 + 449 + 449 / 6 = 1614 / 6 = 269

Easier:

Mean = 2(59) + 1(149) + 3(449) = 1614 / 6 = 269


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Geometric mean Blu-Ray Players

Development of average price level: 5 percent, 10 percent, -15percent and -25 percent.

GM = 4(1.05)(1.1)(0.85)(0.75) = 40.74 = 0.93

Average 7% cheaper.

In Excel: 0.74^(1/4)


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DispersionWeight of bags of crisps (150 grams)

Natural taste Paprika taste

145 143 152 148158 157 147 153

157 142 149 147

141 157 153 151


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Chapter 4 Quartiles, Deciles and Percentiles

First quartile?

10, 15, 4 and 9 Order: 4, 9, 10, 15

L25 = (n + 1) P / 100 = (4 + 1) 25 / 100 = 1.25

9 4 = 5

0.25(5) = 1.25 4 + 1.25 = 5.25

First quartile is at 5.25


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Box plotWaiting time for IF restaurant

Min: 1 min

Q1: 3 min Median 5 min

Q3: 8 min

Max: 15 min


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Box plot


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Scatter plotAge vs income per month

Age Income per month

15 300

25 3000

17 1500

20 1950

30 330021 2100

16 560


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Scatter plotAge vs income per month


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Statistics continued This week:

Prepare for workshop

Workshop Prepare for next lecture

Subject of next lecture: Chapter 5: A survey of probability concepts


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Statistics IBMS Week 1

Documents

Transcript of Statistics IBMS Week 1