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Quantitative Analysis Using

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Title: Quantitative Analysis Using


1
Quantitative Analysis Using
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  • Alaa Sadik, Ph.D.
  • Curricula Instruction, Faculty of Education
  • South Valley University, Qena 11183, Egypt
  • e-mail alaasadik_at_hotmail.com
  • http//www.freewebs.com/alaasadik

2
Quantitative AnalysisUsing SPSS
Manipulation of DataData Analysis
3
ManipulationandTransformation ofData
4
Manipulation and Transformation of Data
  • Recode
  • Compute
  • Replace missing values
  • Select cases
  • Sort cases
  • Merge files
  • Aggregate data

5
Methods for transforming data
  • Computing a new variable
  • Recode
  • into same variable
  • different variable
  • Select subset of cases
  • Random sample
  • Replace missing values

6
Compute a new variable
  • You can calculate different variables from the
    existing variables.
  • For this you need to know the way to compute your
    target variable from the existing variables.
  • You can perform operations like addition,
    subtraction, division and multiplication of
    variables to create a new variable.

7
Recode into same variable
  • Using SPSS you can recode a variable into the
    same variable?

8
Recode into different variable
  • You can Recode existing variable into a different
    variable.
  • Recode into Different Variables reassigns the
    values of existing variables or collapses ranges
    of existing values into new values for a new
    variable.
  • For example, you could collapse salaries into a
    new variable containing salary-range categories.

9
Select subset of cases
  • You can select subset of cases for your analysis
    using SPSS.
  • For example, you can use select procedure if you
    want to do analysis of the relation between
    education of females and their income from the
    data set that has information of both males and
    females.

10
Replace missing values
  • Missing observations can be problematic in
    analysis, and some time series measures cannot be
    computed if there are missing values in the
    series.
  • Replace Missing Values creates new time series
    variables from existing ones, replacing missing
    values with estimates computed with one of
    several methods.

11
Aggregate data
  • Aggregate Data combines groups of cases into
    single summary cases and creates a new aggregated
    data file.
  • Cases are aggregated based on the value of one or
    more grouping variables.
  • The new data file contains one case for each
    group.

12
Create time series
  • Create Time Series creates new variables based on
    functions of existing numeric time series
    variables.
  • These transformed values are useful in many time
    series analysis procedures.
  • Available functions for creating time series
    variables include differences, moving averages.

13
Sort cases
  • You can sort cases of the data file based on the
    values of one or more sorting variables.
  • You can sort cases in ascending or descending
    order.
  • If you select multiple sort variables, cases are
    sorted by each variable within categories of the
    prior variable on the Sort list.

14
Merge files
  • There are two types of merging
  • Adding new cases for the same variables.
  • Adding new variables for the same cases.
  • Depending on what you want to add you select this
    option.

15
Add cases
  • Add Cases merges the working data file with a
    second data file that contains the same variables
    but different cases.
  • For example, you might record the same
    information for customers in two different sales
    regions and maintain the data for each region in
    separate files.
  • Variables from the working data file are
    identified with an asterisk (). Variables from
    the external data file are identified with a plus
    sign ().

16
Add variables
  • Add Variables merges the working data file with
    an external data file that contains the same
    cases but different variables.
  • For example, you might want to merge a data file
    that contains pre-test results with one that
    contains post-test results.
  • You can save this new file with a new name after
    merging.

17
Before merging
  • Cases must be sorted in the same order in both
    data files.
  • If one or more key variables are used to match
    cases, the two data files must be sorted by
    ascending order of the key variable(s).
  • Variable names in the second data file that
    duplicate variable names in the working data file
    are excluded by default because Add Variables
    assumes that these variables contain duplicate
    information.

18
Analysis
Data
19
Types of Variables
  • Nominal
  • example nationality, race, gender
  • based on a concept (two categories variable
    called dichotomous nominal)
  • Ordinal
  • example knowledge, skill... (more than, equal,
    less than)
  • rank-ordered in terms of a criterion from highest
    to lowest
  • Interval/Ratio
  • example age, income, speed...
  • based on arithmetic qualities and have a fixed
    zero point

20
Types of Analysis
  • Univariate Analysis
  • Descriptive Statistics (Summarising Data)
  • Frequency Distributions
  • Frequency tables
  • Histograms

21
Types of Analysis
  • Univariate Analysis
  • Descriptive Statistics (Summarising Data)
  • Central Tendency
  • The mean
  • The median
  • The mode

22
Types of Analysis
  • Univariate Analysis
  • Descriptive Statistics (Summarising Data)
  • Central Tendency
  • The mean the arithmetic average
  • identifies the balance point in a distribution of
    scores.

23
Types of Analysis
  • Univariate Analysis
  • Descriptive Statistics (Summarising Data)
  • Variance
  • spread of data around the mean
  • The range
  • Standard deviation

24
Types of Analysis
  • Univariate Analysis
  • The Range
  • The range is the difference between the highest
    and lowest scores.
  • Range Highest Score - Lowest Score

25
Types of Analysis
  • Univariate Analysis
  • Standard Deviation
  • The standard deviation is the average amount of
    deviation from the mean within a group of scores.
  • The greater the spread of scores, the greater the
    standard deviation.

26
Types of Analysis
Skewness Skewness refers to the degree and
direction of asymmetry in a distribution.
27
Types of Analysis
  • Bivariate Analysis
  • Exploring
  • differences
  • relationships
  • between two variables

28
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Criteria for selecting bivariate tests of
    differences
  • Type of data (nominal/ordinal/interval)
  • Purpose of investigation (means/varience)
  • Relationship between groups (independent/dependent
    )
  • Number of groups (two/more)

29
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Parametric vs non-parametric tests
  • The scale of measurment is of equal interval.
  • The distribution is normal.
  • The variences of both variables are homogenous.

30
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • 1. Non-parametric tests
  • Categorical variables
  • Non-categorical variables
  • 2. Parametric tests
  • Non-categorical variables

31
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Non-parametric tests - Categorical variables
  • - Binomial test to compare frequencies, two
    categories, one sample
  • Example Ratio of male to female in specific
    industry compared to industry in general.
  • - Chi-square test to compare frequencies, more
    than two categories, one sample
  • Example Number of workers from four different
    ethnic groups

32
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Non-parametric tests - Categorical variables
  • - Crosstabulation two or more categories,
    unrelated samples
  • Example The proportion of male to female workers
    in both white and black workers.
  • - Q test three or more categories, related
    samples
  • Example The number of people who didnt attend
    the three meetings.

33
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Non-parametric tests - Non-categorical
    variables
  • - Kolmogorov-Smirnov test one sample two
    unrelated samples
  • - Median test two or more unrelated samples
  • - Mann-Whitney U test two unrelated samples
  • - Kruskal-Wallis H test three or more unrelated
    samples
  • - Wilcoxon test two related samples
  • - Friedman test three or more related samples

34
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Non-parametric tests - Non-categorical
    variables
  • - Mann-Whitney U test two unrelated samples
  • Example Rated quality of work for men and women.
  • - Wilcoxon test two related samples
  • Example Rated quality of work is the same in the
    first and second month.

35
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Parametric tests - Non-categorical variables
  • - t test one sample
  • Example The mean of a sample to that of the
    population
  • - t test two unrelated samples
  • Example Job satisfaction between men and women
  • - One-way ANOVA (analysis of variance) three or
    more unrelated means
  • Example Job satisfaction of four ethnic groups

36
Types of Analysis
  • Bivariate Analysis
  • Exploring differences between two variables
  • Parametric tests - Non-categorical variables
  • - Levenes test three or more unrelated
    variances
  • Example The variances of job satisfaction across
    four ethnic groups
  • - t test two related means
  • Example Means of the same subject s in two
    conditions

37
Types of Analysis
  • Bivariate Analysis
  • Exploring relationships between
  • two variables Crosstabulation
  • To demonstrate the presence or absence of a
  • relationship (nominal and ordinal variables)

38
Types of Analysis
  • Bivariate Analysis
  • Exploring relationships between two variables
  • Correlation
  • To show the strength and the direction of a
    relationship
  • (ordinal and interval variables)
  • 1. Rank correlation (ordinal variables)
  • 2. Linear correlation (interval variables)

39
Types of Analysis
  • Bivariate Analysis
  • Exploring relationships between two variables
  • Rank correlation
  • for ordinal variables and non-parametric samples
  • Spearmans rho
  • Kendalls tau

40
Types of Analysis
  • Bivariate Analysis
  • Exploring relationships between two variables
  • Linear correlation
  • for interval variables and parametric samples
  • Pearsons r
  • Regression (for making predications of likely
    values of the dependent variable)

41
www.spss.com
42
Thank UQuantitative Analysis Using SPSSby
Alaa Sadik For more examples and information
about this presentation visit my site
belowwww.freewebs.com/alaasadik
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