One Way Analysis of Variance Essay
One Way Analysis of Variance
Oneway Analysis of Variance
(Abbreviated oneway ANOVA) is a technique used to compare means of two or more samples (using the F distribution). This technique can be used only for numerical data. It consists of a single factor with several levels and multiple observations at each level. With this kind of layout we can calculate the mean of the observations within each level of our factor. The residuals will tell about the variation within each level. It can also average the means of each level to obtain a grand mean. And then look at the deviation of the mean of each level from the grand mean to understand something about the level effects. Finally, can compare the variation within levels to the variation across levels. Hence the name analysis of variance.
Used to determine whether there are any significant differences between the means of three or more independent (unrelated) groups. It tests the null hypothesis that samples in two or more groups are drawn from populations with the same mean values. And compares the means between the groups you are interested in and determines whether any of those means are significantly different from each other.
Formula
F= q MSBMSWWhere: F = Fisher’s Ratio
K = Number of Columns
N = Total Number of items
MSB= SSBK1
MSW= SSWNK
Attitudes of the 1st, 2nd, 3rd and 4th year EHS students towards their computer subject
Attitude Year Average Weighted Mean Rank
 1st 2nd 3rd 4th  
Study regularly 3.44 3.37 3.50 3.56 3.47 9
Regularly exercise the skills 3.73 3.88 3.65 3.58 3.71 6.5 Listen attentively during class discussion 3.62 3.71 3.67 3.85 3.71 6.5 Always do the assignment without hesitation 3.63 3.73 3.83 3.75 3.75 5 Always work on projects without hesitation 3.94 4.10 4.12 4.00 4.04 2 Enjoy the handson activity 4.13 4.38 4.06 4.25 4.21 1 Search and use other computer reference 3.83 3.83 3.54 3.92 3.78 4 Always take down notes during discussion 3.67 3.67 3.77 4.04 3.79 3 Ask questions whenever the topic is unclear 3.37 3.38 3.54 3.63 3.48 8 Likeability of the subject 2.98 3.62 3.12 3.25 3.24 10      
Grand Means 3.63 3.77 3.68 3.79 3.72
The table shows the summary of the attitudes of the EHS students towards their computer subject. Having computed the Average Weighted Means, Rank 1 is indicator f, which is “I enjoy our handson activities” with an average mean of 4.21. The Last rank goes to indicator j, which is “I like my computer subject”, with an average mean of 3.24. This indicates that the EHS students do not like their computer subject. Though the third year likes their computer subject, they are only a fraction of the whole which do not like their computer subject. This further indicates that the students manifest positive attitude towards their computer subject because of the grand weighted mean of 3.72. This signifies that even though they do not like their computer subject, they still manifest positive attitude for they have the majority of the indicators.
Reference
Anonymous.August 23,2013.Oneway analysis of variance. http://en.wikipedia.org/wiki/Oneway_analysis_of_variance Anonymous.August 23,2013.Oneway ANOVA. https://statistics.laerd.com/statisticalguides/onewayanovastatisticalguide.php Anonymous.August 23,2013.OneWay ANOVA. http://www.itl.nist.gov/div898/handbook/ppc/section2/ppc231.htm
A+

University/College: University of Arkansas System

Type of paper: Thesis/Dissertation Chapter

Date: 21 March 2016

Words:

Pages:
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