{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

example_oneway

# example_oneway - Stat 2225 Handout One-Way ANOVA Example...

This preview shows pages 1–2. Sign up to view the full content.

Stat 2225 Handout One-Way ANOVA Example Q15.65 on p. 522. Want to see if the burning time (response variable) is different among four brands (explanatory variable) of road flares. ANOVA Table Analysis of Variance ----------------------------------------------------------------------------- Source Sum of Squares Df Mean Square F-Ratio P-Value ----------------------------------------------------------------------------- Between groups 662.675 3 220.892 3.56 0.0236 Within groups 2235.7 36 62.1028 ----------------------------------------------------------------------------- Total (Corr.) 2898.38 39 Summary Statistics Count Average Variance IQR ------------------------------------------------------------------------------------ Flare A 10 61.6 80.4889 18.0 Flare B 10 57.3 70.4556 14.0 Flare C 10 61.8 22.1778 5.0 Flare D 10 51.8 75.2889 11.0 ------------------------------------------------------------------------------------ Total 40 58.125 74.3173 10.5 Box-and-Whisker Plot response Flare A Flare B Flare C Flare D 35 45 55 65 75 85 Step 0: interval data types; from boxplot, the normality is not really good due to Flare C (as shown); the equal variance assumption is not very good either (80 is bigger than twice of 22). But we’ll go on, just as an illustration of the procedure. Step 1: H0: 1 µ = 2 µ = 3 µ = 4 µ vs. Ha: at least one pair of the average burning times is different. Step 2: TS = 3.56 (from output); it has an F distribution with 3 and 36 degrees of freedom. Step 3: p-value = 0.0236 (the critical value from table is F 3,36,0.05 = 2.86647), we conclude that we have enough evidence to infer that the burning time of road flares are significantly different among those 4 brands.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern