Session 1_Descriptive Statistics

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Descriptive Statistics

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Descriptive Descriptive StatisticsStatisticsMahdi AkbarzadehMahdi AkbarzadehDepartment of Biostatistics and Department of Biostatistics and

EpidemiologyEpidemiology

Statistics

Two areas of statistics:

Generally the field of statistics can be divided in two parts:

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Descriptive

Inferential

Sample vs. Population

Population Sample

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Descriptive Statistics

Descriptive Statistics are Used by Researchers to Report on Populations and Samples

In Medical Research: Summary descriptions of measurements (variables)

taken about a group of people

By Summarizing Information, Descriptive Statistics Speed Up and Simplify Comprehension of a Group’s Characteristics

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An Illustration:

Which Group is Smarter?

Class A--IQs of 13 Students

102 115

128 109131 8998 106

140 119

93 97110

Class B--IQs of 13 Students

127 162131 10396 11180 109 93 87120 105109

Each individual may be different. If you try to understand a group by remembering the qualities of each member, you become overwhelmed and fail to understand the group.

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Which group is smarter now?

Class A--Average IQ Class B--Average IQ

110.54 110.23

They’re roughly the same!

With a summary descriptive statistic, it is much easier to answer our question.

Methods for Descriptive Statistics

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One Variable Descriptions :o Describing VRs with tablestables and graphsgraphso Numerical descriptions with StatisticsStatistics

Bivariate Descriptions: o Combining above methods: Two way tables, Clustered Bar

charts, . . .

- In practice, most studies have several VRs

Describing by Tables and GraphsTables and Graphs

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Qualitative or Categorical VRs (Sex, Age group, Oral hygiene level, . . . )

- Frequency Table (One-way)- Bar Charts- Pie Charts

Quantitative or Continuous VRs (Age, Time, Number of teeth, . . . )

- Histogram- Box plot- Categorize

Describing by Tables and GraphsTables and Graphs

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Qualitative or Categorical VRs (Sex, Age group, Oral hygiene level, . . . )

- Frequency Table (One-way)

Describing by Tables and GraphsTables and Graphs

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Qualitative or Categorical VRs (Sex, Age group, Oral hygiene level, . . . )

- Bar Charts

Describing by Tables and GraphsTables and Graphs

akbarzadeh.ms@gmail.com

Quantitative or Categorical VRs (Sex, Age group, Oral hygiene level, . . . )

- Pie Charts

Describing by Tables and GraphsTables and Graphs

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Quantitative or Continuous VRs (Age, Time, Number of teeth, . . . )

- Histogram

Describing by Tables and GraphsTables and Graphs

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Quantitative or Continuous VRs (Age, Time, Number of teeth, . . . )

- Box plot

Describing by StatisticsStatistics

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Types of Statistics:- Central Tendency- Percentile Values- Dispersion- Distribution

Describing by StatisticsStatistics

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Types of Statistics:- Central Tendency

Describing by StatisticsStatistics

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Types of Statistics:- Percentile Values

Describing by StatisticsStatistics

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Types of Statistics:- Dispersion

Describing by StatisticsStatistics

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Types of Statistics:- Distribution

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Histogram of age

age

Frequency

16 18 20 22 24

050000

100000

150000

Symmetrical Distribution

Unsymmetrical Distribution (Skewed)

Tall and Short Distribution (Kurtosis)

Describing by StatisticsStatistics

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Types of Statistics:- Distribution

Describing by StatisticsStatistics

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Article 1

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Article 1

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Article 1

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Article 2

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Article 2

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Article 3

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Article 3

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Article 3

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Thank You

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