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Statistics I: Understanding Variables and Data Types - Prof. Barcelón Cobedo, Resúmenes de Estadística

The concept of statistics, its uses, and statistical terminology. It covers the definition of population, sample, and individual, as well as the explanation of variables and their types: qualitative (nominal and ordinal) and quantitative (discrete and continuous). Exercises to test understanding.

Tipo: Resúmenes

2016/2017

Subido el 05/03/2017

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STATISTICS I
Chapter 1: Introduction and basic concepts
1. Concept and uses of statistics
a) What is statistics?
1.The science of collecting and analyzing numerical data especially in
large quantities and usually inferring proportions in a whole from
proportions in a representative sample.
2. Any systematic collection or presentation of such facts.
A statistic can be any numerical datum.
Economic statistics: level of unemployment, ination rate
Demographic statistics: birth rate, average age
Sporting statistics: goals scored, red cards
Weather statistics: temperature, rainfall
b) What are statistics used for?
Collection and summary of information. (Descriptive Statistics)
Illustration of the relation between dierent variables.
(Descriptive Statistics)
Changes in a variable over time. (Descriptive Statistics)
Estimation of the characteristics of a population from sample
data. (Inferential Statistics)
Forecasting and prediction. (Inferential Statistics)
2. Statistical terminology: population, sample and individual
Population: a complete collection of individuals/ítems
Sample: subset of the population
Individual
3. Variables
A variable is a characteristic of the population that it is wished to
study.
Political aliation of Madrileños: IU, PP, PSOE, Podemos,
Ciudadanos, others.
The employment status of Getafenses: unemployed, part
time, full time.
Number of newspapers bought by Madrileños.
Spending of Spanish town halls.
Dierent types of variables need dierent treatments.
4. Types of variables
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STATISTICS I

Chapter 1: Introduction and basic concepts

  1. Concept and uses of statistics a) What is statistics? 1.The science of collecting and analyzing numerical data especially in large quantities and usually inferring proportions in a whole from proportions in a representative sample.
  2. Any systematic collection or presentation of such facts. A statistic can be any numerical datum.
    • Economic statistics: level of unemployment, inflation rate
    • Demographic statistics: birth rate, average age
    • Sporting statistics: goals scored, red cards
    • Weather statistics: temperature, rainfall b) What are statistics used for?
    • Collection and summary of information. (Descriptive Statistics)
    • Illustration of the relation between different variables. (Descriptive Statistics)
    • Changes in a variable over time. (Descriptive Statistics)
    • Estimation of the characteristics of a population from sample data. (Inferential Statistics)
    • Forecasting and prediction. (Inferential Statistics)
  3. Statistical terminology: population, sample and individual
    • Population: a complete collection of individuals/ítems
    • Sample: subset of the population
    • Individual
  4. Variables A variable is a characteristic of the population that it is wished to study.
    • Political affiliation of Madrileños: IU, PP, PSOE, Podemos, Ciudadanos, others.
    • The employment status of Getafenses: unemployed, part time, full time.
    • Number of newspapers bought by Madrileños.
    • Spending of Spanish town halls.
    • Different types of variables need different treatments.
  5. Types of variables

1. Qualitative = Categorical (You cannot measure them numerically) -Ordinal: clases can be ranked (Clothes size: L-M-S) -Nominal: no natural order (Blood type: A,B,AB,O) 2. Quantitative= Numerical -Discrete: integer # of children 0,1,2, -Continuous: nonintegers like height 1.55cm Notation: Letters X;Y ; Z are typically used. Example: X = height in cm (upper-case letters in definition) x = 1.55 (lower-case letters for specific values) x1 = 1:55; x2 = 1:71 (add subscripts if more than one)

  1. Exercises SET 1:
  2. Indicate which variables are qualitative and which are quantitative: a. Eye colour.- Cualitative Nominal (b) Number of siblings.- Quantitative discrete (c) Public Madrid University attended. –Qualitative Nominal (d) The height of a baby at birth. –Quantitative Continuous (e) The newspaper you read most frequently.-Qualitative nominal (f) Telephone number of a student. –Quantitative discrete (g) The favourite food of students in the class. – Qualitative nominal (h) Who went to the party? – Qualitative nominal (i) How many people were at the party? – Quantitative discrete (j) Number of rooms in a hotel. – Quantitative discrete
    1. It is wished to study the opinions of Madrileños on the possible Independence of Cataluña (strongly against, against, neither in favour nor against, in favour, strongly in favour). With this objective, it is decided to take a simple of 20 UC3M students. Define: