data analysis basic

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DESCRIPTIVE STATISTICS & ASSUMPTIONS

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Page 1: Data analysis basic

DESCRIPTIVE

STATISTICS

&

ASSUMPTIONS

Page 2: Data analysis basic

Descriptive Statistics for 1 Variable

Qualitative Quantitative

ScaleNominal Ordinal

Page 3: Data analysis basic

Descriptive Stats for Nominal Data

Summary Figure

Graphs Distribution

Mode

Dispersion

Shape

Centre

CoV

No

Bar Pie Frequency

Relative Frequency

Percentage

Page 4: Data analysis basic

Descriptive Stats for Ordinal Data

Summary Figure

Graphs Distribution

MedianDispersio

n

Shape

Centre

Percentile

No

Bar Pie Frequency

Relative Frequency

Percentage

Page 5: Data analysis basic

Descriptive Stats for Scale Data

Summary Figure

GraphsDistributio

n

Symmetric

Dispersion ShapeCentre

Standard Deviatio

n

Skewness

Histogram

1. Frequency2. Relative

Freq3. Percentag

e

Skewed Kurtosis

Mean MedianPlaty, Meso, Lepto

SymmetricSkewed (+, -)

Page 6: Data analysis basic

Descriptive Statistics Through SPSS

Summary Figures

GraphsDistribution

Meth

ods

in

SPSS

Analysis (Descriptives)

Analysis (Frequency)

Analysis (Crosstabs)

Analysis (Tables)

Analysis (Tables)

Graph Buider

Analysis (Frequency)

Analysis (Crosstabs)

Split File & Analyze

Page 7: Data analysis basic

Descriptive Statistics Through SPSS

Summary Figures

GraphsDistribution

Meth

ods

in

SPSS

Analysis (Descriptives)

Analysis (Frequency)

Analysis (Crosstabs)

Analysis (Tables)

Analysis (Tables)

Graph Buider

Analysis (Frequency)

Analysis (Crosstabs)

Split File & Analyze

Page 8: Data analysis basic
Page 9: Data analysis basic

Summary Figures Analysis (Descriptives)

Press

Page 10: Data analysis basic

Summary Figures Analysis (Descriptives)

Check the Ones you

want

Press

Page 11: Data analysis basic

Summary Figures Analysis (Descriptives)

Press

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Page 13: Data analysis basic

Summary Figures

Split File & Then Analyze (Descriptives)

Splitfile breaks the file into different parts.

Number of parts depend upon the qualitative variable used for

splitting. If Gender is used then there will be two groups.

What is Splitfile

Number of Groups

Analysis with

Splitfile ON Organize Output by Groups

Compare Groups

Page 14: Data analysis basic

Summary Figures

Split File

Page 15: Data analysis basic

Press

SORT CASES BY Gender.SPLIT FILE SEPARATE BY Gender.

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Summary Figures

Tables with Quantitative & Qualitative Data

Page 19: Data analysis basic

Summary Figures

Tables with Quantitative & Qualitative Data

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Press

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Page 25: Data analysis basic

Descriptive Statistics Through SPSS

Summary Figures

GraphsDistribution

Meth

ods

in

SPSS

Analysis (Descriptives)

Analysis (Frequency)

Analysis (Crosstabs)

Analysis (Tables)

Analysis (Tables)

Graph Buider

Analysis (Frequency)

Analysis (Crosstabs)

Split File & Analyze

Page 26: Data analysis basic

Distribution Analysis (Frequency)

Page 27: Data analysis basic

Distribution Analysis (Frequency)

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Distribution Analysis (Crosstabs)

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Press

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Distribution Analysis (Tables)

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Page 42: Data analysis basic
Page 43: Data analysis basic

Descriptive Statistics Through SPSS

Summary Figures

GraphsDistribution

Meth

ods

in

SPSS

Analysis (Descriptives)

Analysis (Frequency)

Analysis (Crosstabs)

Analysis (Tables)

Analysis (Tables)

Graph Builder

Analysis (Frequency)

Analysis (Crosstabs)

Split File & Analyze

Page 44: Data analysis basic

Graphs Graph Builder

Page 45: Data analysis basic

Press

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Press

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Page 50: Data analysis basic

CROSSTABULATION

Page 51: Data analysis basic

Assumptions

NormalityHomogeneity of Variance

Independence

What

is it?

Pro

cedu

res

Data follows bell shape distribution

P-P Curve

Histogram

Q-Q Curve

Quantitities

Value of Variance is same for

different groups or …….

Levene’s Test

Page 52: Data analysis basic

P-P CurveNormality

A graph between the cumulative probability of a variable against the cumulative

probability of a particular distribution. What is it?

ProcessData is

Ranked & Sorted

Expected Z Score

for Ranked

Data

Actual Z Score for Ranked

Data

Both the Variables

are Graphed

Expected Cumulative Probability

Actual Cumulative Probability

Page 53: Data analysis basic

HistogramNormality

Graphical Presentation for the frequency distribution of quantitative data What is it?

ProcessGroup the data & get the frequency

for each group

Have the variable on x-axis with the interval and frequency on Y

axis

Quantitative Variable

Frequency

Page 54: Data analysis basic
Page 55: Data analysis basic

Skewness, KurtosisNormality

Measure of skewnessWhat is it?

Skewness

Kurtosis Measure of Peakdness or flatness of data

Page 56: Data analysis basic

Positively Skewed

Skewness

Negatively Skewed

Symmetric

Page 57: Data analysis basic

Mode

Media

nMean

Page 58: Data analysis basic

Leptokurtic

Mesokurtic

Platykurtic

Page 59: Data analysis basic

Measu

res

of

Shape

Skewness

Kurtosis

Positively Skewed (Sk > 0)

Negatively Skewed (Sk < 0)

Symmetric (Sk = 0)

Platykurtic (Kr< 0)

Mesokurtic (Kr=0)

Leptokurtic (Kr>0)

Page 60: Data analysis basic

Skewness Kurtosis

Value

Standard Error in Value

Z-score of the Value

P Value

Page 61: Data analysis basic

Tests of Normality

Kolmogorov Sminov

Shapiro-Wilk

Methodology Compare Normal scores with the given scores

Non-Normal When tests are statistically significant

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What is it?Homogeneity of

Variance

Male Female

Marks

Male Female

Marks

Same

Variance Different Variance

Page 66: Data analysis basic
Page 67: Data analysis basic

Levene’s TestHomogeneity of

Variance

Null Hypothesis Variances in different groups are

same

Process Compares the variances of

different groups

Significance means

Variances are different

Process in SPSS

Page 68: Data analysis basic
Page 69: Data analysis basic

Hypothesis Testing