Is there a difference in the DV based on the IV?
Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size). Also, in your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.
Identify the dependent variable (DV) and its Level of Measurement (Hint: it must be interval or ratio)
Identify the independent variable (IV) and its Level of Measurement
Write a research question (RQ)** that can be addressed by a One-way ANOVA. Use this format:
Is there a difference in the DV based on the IV? For example:
**Note: a question is an interrogative sentence that ends with a question mark. Keep your RQ simple and concise.
Write the null hypothesis for your question. Use this format:
There is no difference in (insert DV) based on (insert IV).
-State the research design that aligns with the RQ.
-State the means test used to address the RQ. You have only 1 choice here: One-way ANOVA.
-Decide if the ANOVA is statistically significant and decide to reject or fail to reject the null hypothesis based on the significance finding.
-If the ANOVA is significant, calculate the effect size.** For a One-way ANOVA effect size is measured by = eta-squared. Calculate eta-squared this way:
i. Go to the ANOVA Output.
ii. Go to the Between Groups row and select the value in the Sum of Squares column.
iii. Go to the Total row and select the value in the Sum of Squares column.
iv. Divide the Between Groups Sum of Squares by the Total Sum of Squares. The result of this division is eta-squared and it must have a value between 0 and 1.
v. Explain the meaning of effect size.
vi. Decide if the effect is small, medium, or large.
vii. If the ANOVA is not significant the effect size is meaningless… …so don’t calculate it… …just don’t.
ANOVA
Lived Poverty Index (average index of 5 poverty items)
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
2193.473
3
731.158
859.051
.000
Within Groups
43338.320
50919
.851
Total
45531.793
50922
Multiple Comparisons
Dependent Variable: Lived Poverty Index (average index of 5 poverty items)
LSD
(I) Country by region
(J) Country by region
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
West Africa
East Africa
.0190
.0121
.116
-.005
.043
Southern Africa
.2435*
.0096
.000
.225
.262
North Africa
.6506*
.0138
.000
.624
.678
East Africa
West Africa
-.0190
.0121
.116
-.043
.005
Southern Africa
.2244*
.0122
.000
.200
.248
North Africa
.6315*
.0157
.000
.601
.662
Southern Africa
West Africa
-.2435*
.0096
.000
-.262
-.225
East Africa
-.2244*
.0122
.000
-.248
-.200
North Africa
.4071*
.0139
.000
.380
.434
North Africa
West Africa
-.6506*
.0138
.000
-.678
-.624
East Africa
-.6315*
.0157
.000
-.662
-.601
Southern Africa
-.4071*
.0139
.000
-.434
-.380
*. The mean difference is significant at the 0.05 level.
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