Data Analysis Plan Handout

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4/11/2015 1 Research Methods for Business & Managers Requires not just identification of chosen techniques but a meaningful discussion as to their suitability and, if possible, a small discussion of the procedure involved in applying your techniques. This section is heavily weighted in the overall scheme of things so please pay due diligence thereto.

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Data analysis plan

Transcript of Data Analysis Plan Handout

  • 4/11/2015

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    Research Methods for Business & Managers

    Requires not just identification of chosen techniques but a

    meaningful discussion as to their suitability and, if possible, a

    small discussion of the procedure involved in applying your

    techniques. This section is heavily weighted in the overall

    scheme of things so please pay due diligence thereto.

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    Explanation through numbers

    Objective

    Deductive reasoning

    Predefined variables and measurement

    Data collection before analysis

    Cause and effect relationships

    Explanation through words

    Subjective

    Inductive reasoning

    Creativity, extraneous variables

    Data collection and analysis intertwined

    Description, meaning

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    Quantitative measures are typically referred to as variables.

    A variable is anything that has different values eg numbers or

    names

    Any variable that is affected by or whose value is changed by

    the occurrence of another variable is known as a dependent

    (y) variable eg. If when pay is adjusted, performance changes

    the performance is the dependent variable. Performance

    can also be called the outcome.

    Variables which are viewed as impacting upon the outcome,

    are often referred to as independent (x) variables. So pay is

    the independent variable.

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    A nominal variable relates to a set of categories (such as ethnic groups,

    political parties, gender )-which is not ordered or which cannot be

    ranked/rated

    An ordinal variable relates to a set of categories in which the categories

    are ordered, (such as levels of educational qualification, organizational

    rank, Likert scales)

    An interval-level variable relates to a scale measure, (such as age or

    income), that can be subjected to mathematical operations such as

    averaging

    Univariate analysis where a single variable is considered eg an analysis of

    pay in a particular organization. Also known as simple statistics.

    Bivariate analysis - where the relationship between two variables are

    considered eg relationship between pay and performance. Also known as

    effect or outcome statistics.

    Multivariate analysis - where the aim is to explain why two variables are

    related to other variable/s eg pay and working conditions impacting

    performance and motivation. Also known as (multiple) effect or outcome

    statistics.

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    Descriptive or Simple Statistics

    Summarize data

    Effect Statistics:

    Associational which measure connections

    Inferential - which allows generalizations from samples to populations

    Simple (or descriptive) statistics used for nominal and ordinal

    variables

    Usually displayed and described using frequencies,

    proportions or odds

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    Frequency Distribution

    Counts and Percentages - A simple table showing how many, or what percent, of the cases fall into each variable category.

    Central Tendency or Location

    The mode is the most common or frequently occurring number.

    The median is the middle point and the 50th percentile.

    The mean, the arithmetic average, is the most widely used measure of central tendency

    Measuring Dispersion (Spread)

    You can measure variation in three ways: range, percentile, and standard deviation.

    Range consists of the largest and smallest scores

    Percentiles tell us the score at a specific place within the distribution.

    Standard deviation = a widely used measure of the variability of a variable that indicates the

    average distance of cases from the mean value.

    Z-scores = a standardized measure that allows comparisons of groups that differ in their means

    and standard deviations.

    Charts and graphs are suitable for presenting and

    summarizing frequency data

    Type of Charts

    Bar Chart, Pie Chart

    Histogram

    Frequency Polygon

    Type of Data Bar Chart Pie Chart Histogram Frequency Polygon

    Nominal X X

    Ordinal X

    Interval X X

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    Do you want to know how many individuals checked each answer? Frequency

    Do you want the proportion of people who answered in a certain way? Percentage

    Do you want the average number or average score? Mean

    Do you want the middle value in a range of values or scores? Median

    Do you want to show the range in answers or scores? Range

    Do you want to compare one group to another? Cross tab

    Do you want to show the degree to which a response varies from the mean?

    Standard deviation

    Depend on the type of y and x variables. Main ones:

    Y X Test Shows

    numeric numeric linear regression slope, intercept, correlation

    numeric nominal t-test ;ANOVA difference in mean

    nominal nominal chi-square; contingency table

    differences in frequency of ratio

    nominal numeric categorical modeling relative risk or odds ratio

    ordinal

    whatever regression; t-test; implies causal direction

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    Measures of Association measures the strength of the

    association between 2 variables

    Covariation or correlation = When two or more variables go together

    or are associated with one another.

    Statistical Independence = The absence of an association or

    covariation between two variables.

    Quantitative Analysis Techniques - Examples of associational statistics

    Method Purpose Examples of application

    Cross-tabulations Frequency distribution A preference for a brand of cereal based on gender

    Scatter diagrams Frequency distribution Exploring the link between car mileage and petrol

    consumption

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    Scattergrams

    A graph on which you plot the value of each case or observation. Each

    axis of the graph represents the values of one variable, and the graph

    can reveal bivarate relations.

    Bi-variate cross-tabulation = Placing two variables in a

    table at the same time allow you to see how cases that

    have values on one variable align with values on a second

    variable for those same cases.

    Multi-variate cross-tabulation a table with two or

    more variables that has been cross-tabulated

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    Gender * Promotions Crosstabulation

    Promotions

    Not Promoted Promoted Total Gender Male Count

    812 385 1197

    Expected Count 800.8 396.2 1197.0

    % within Gender 67.8% 32.2% 100.0%

    % within Promotions 95.9% 91.9% 94.5%

    Female Count 35 34 69

    Expected Count 46.2 22.8 69.0

    % within Gender 50.7% 49.3% 100.0%

    % within Promotions 4.1% 8.1% 5.5%

    Total Count 847 419 1266

    Expected Count 847.0 419.0 1266.0

    % within Gender 66.9% 33.1% 100.0%

    % within Promotions 100.0% 100.0% 100.0%

    Contingency table = A table with two or more variables

    that have been cross-tabulated.

    Department No. of Male Managers

    Salary Ranges No. of Female Managers

    Salary Ranges

    Production 16 $2500-$5500 22 $2000-$5000

    Sales 11 $4000-$7000 16 $3500-$6500

    Accounting 9 $4500-$7500 8 $4000-$7000

    Human Resources 5 $4oo0-$7000 9 $4000-$7000

    Marketing 1 $4000-$7000 3 $4000-$7000

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    Involves using quantitative data collected from a sample to

    draw conclusions about a complete population

    Population includes the totality of observations that might

    be made

    Whereas, a sample comprises a subset of the population

    where observations will be or have been made

    Hypothesis testing Confidence intervals Time series analysis Pearsons coefficient (P) Spearmans coefficient of rank correlation (NP) Students t-Test Simple regression (P) Multiple regression (P)

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    Components Procedures Outcomes

    Data Reductions

    Data Display

    Conclusions &

    Verification

    Coding

    Categorisation

    Abstraction

    Comparison

    Dimensionalisation

    Integration

    Interpretation

    Description

    Explanation/

    Interpretation

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    As the name implies, similar to grounded theory as described

    in our look at research strategies

    Given this reasoning, 3 key steps normally involved in this

    type of analysis:

    Open coding the initial attempt to develop categories which

    illuminate the data

    Axial coding saturation of categories and development of

    subcategories

    Selective coding - the process of integrating and refining categories

    to form a larger theoretical scheme

    Appropriate for data that are collected through narrative discourse

    Where the data are analyzed by following the sequence of the narrative

    to ensure that meaning and context are not lost

    Usually follows a pattern:

    What is the story about

    What happened, to whom, where, and why

    What were the consequences of this

    What is the significance of these events

    What was the final outcome

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    Focuses on language as a social practice in its own right

    and is concerned with how individuals use language in

    specific social contexts

    Enables researcher to gain an understanding of how and

    why individuals use language to construct themselves

    and the world around them

    Many different branches most popular critical

    discourse analysis

    Involves analyzing images that may come from primary or

    secondary findings

    Used for example:

    When you wish to analyze how many magazine ads used

    celebrity endorsements

    What is the most popular USP of ads

    Although less time consuming that other methods, it is

    more challenging to interpret data on the basis of visual

    images

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    Analysis of written documents

    Developing categories of words and phrases

    Looks at frequency of words, uses word counts

    Used for historical trends

    e.g. feminism in womens magazines over the last 10 years

    e.g. number of centimetres devoted to sport in newspapers

    Can be used to analyse interview texts

    e.g. counting expressions of conflict