Purchase Solution

# One-way analysis of variance (ANOVA)

Not what you're looking for?

An experimenter wants to determine which of four seat-belt designs provide the best protection from a head-on collision. Simulated accidents are performed by four manufactures. The observations are a composite index of passenger injury. For alpha= 0.15, test for significant difference in design.

Design 1: 37, 42, 45, 49, 50, 45
Design 2: 49, 38, 40, 39, 50, 41
Design 3: 33, 34, 40, 38, 47, 36
Design 4: 41, 48, 40, 42, 38, 41

a)
1) Define linear models and corresponding assumptions (write down the formula in Greek)
2) Check (write) assumptions
3) State and test hypothesis using the S-method (Scheffe), exploratory analysis- Summarize your findings.
4) Use Tukey's method to study significance of designs. Summarize your findings.
5) Analyze the data assuming one is only interested in two planned design.

b) Re-analyze the given data assuming the treatments are sampled from a population of treatments. (One way random ANOVA model)
Review model assumptions, state model, analyze the data and perform post hoc analysis.

NOTE: I need only explanations, hypothesis, model, etc. to be written down. The calculation parts needs to be done in SPSS (or SAS), and I need SPSS (or SAS) outputs, (and SAS codes) too.

##### Solution Summary

This problem was analyzed as a one-way analysis of variance (ANOVA), first with a fixed effects model, then with a random effects model. The tool for the analysis was SAS.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.