1 Introduction to Stat

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  • *TOPIC 1: INTRODUCTION

  • *

  • **is a branch of mathematics dealing with the collection, organizing, analysis, interpretation &

    presentation of masses of numerical data.

    *=>meaningful conclusions can be drawn from them.

  • *

  • **Descriptive statistics (learn about the data)

    *Inferential statistics (learn about the population-assumption)

    Whats the DIFFERENCE?

  • **Techniques that take the raw scores from a distribution and summarize them in a form

    that is more manageable.

    *characteristics of the data = described in simple terms.

    *Methods = summarize, organize, simplify data.

  • **Include the construction of graphs, charts & tablesand the calculation of various descriptive measures

    such as average (MEANS) and measure of variation

    (STANDARD DEVIATION).

  • **Other name = statistical induction.*Comprises the use of statistics to make

    inferences concerning some unknown aspect of

    a population.

    *mathematical tools to make forecasts and projections by analyzing the given data.

  • *

  • *Descriptive statistics*To describe the basic features of the data in a

    study.

    *To present quantitative descriptions in a manageable form.

    *

  • *Inferential statistics*To study samples and then make generalizations

    about the population from which they were

    selected.

    *

  • **Preliminary descriptive analysis of sample > choose the appropriate inferential method.

    *Descriptive Statistics = *performed on a sample & on a population*To examine & explore the data

    *Inferential Statistics =*An inference is made about the population based on

    the samples data

  • *VARIABLES AND

    DATA SETS

  • *A variable is property of an object or event that can take

    on different values. It is a

    characteristic associated

    with each unit in a

    population

  • *Constant:

  • *Discrete vs Continuous variable

    *Quantitative data can be distinguished in terms they are discrete or continuous.

  • *

  • *Continuous Variable

    *A variable that consists of numbers whose values, at least in theory has no restrictions.

    *Example, weights of female statistics students, reaction time, standardized test score

  • *Continuous or Discrete??

    *Cooking time for pasta-c*IQ score-c*Age -d*Population in Parit Raja-d*Speed of jetliner-c

  • **Quantitative Data*Qualitative Data

  • **Data is quantitative if the observations or measurements made on a given variable of a sample or population have

    numerical values.

    *Example: height, weight, number of children, blood pressure, current, voltage.

  • **is discrete if the corresponding data values take discrete values.

    *Example : number of children, number of cars.

    *is continuous if the data values take continuous values. *Example: speed, distance, time, pressure.

  • **Data is qualitative if words, groups and categories represents the observations or measurements.

    *Example: colors, yes-no answers, blood group.

  • *Qualitative or Quantitative ?

    *Race*Age*Family size*Academic major*IQ Score

    *Net Worth (RM)*Favorite sport*Gender*Temperature

    *Political preference

  • **Nominal*Ordinal*Interval*Ratio