One Way ANOVA (Comparison of best Cartoon Shows)

Title: Comparison of best Cartoon Shows.

Author: Palak Agrawal

Introduction:
Shinchan, Doraemon, Oswald, and Mr. Bean are all popular cartoon shows that have entertained viewers of all ages.
Shinchan is a Japanese anime series that features a mischievous young boy named Shinchan who lives with his family and friends. The show is known for its humour, quirky characters, and offbeat storylines.
Doraemon is another popular Japanese anime series that follows the adventures of a robotic cat named Doraemon who travels back in time to help a young boy named Nobita. The show is known for its heart-warming moments, sci-fi elements, and lovable characters.
Oswald is an American children’s show that centres around a blue octopus named Oswald and his group of animal friends. The show is known for its gentle humour, catchy music, and bright, colourful animation.
Mr. Bean is a British live-action series that features the comical misadventures of a man named Mr. Bean, played by actor Rowan Atkinson. The show is known for its physical humour, slapstick comedy, and lack of dialogue.
All of these shows have become popular around the world for their unique characters, entertaining storylines, and memorable moments.

Objective: To compare the likeability of best cartoon
1. Shinchan
2. Doraemon
3. Oswald
4. Mr. Bean
Test Hypothesis: H0 all are same, H1 at least one of them is different.

Data Collection: Four best cartoon brands were selected for this Project: One Way ANOVA. Students of the class were requested to grade the brands out of 10 and then One Way ANOVA was calculated.

Data analysis:
Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
Shinchan 43 342 7.953488372 7.759689922
Doraemon 43 346 8.046511628 7.093023256
Oswald 43 336 7.813953488 7.250276855
Mr. Bean 43 358 8.325581395 4.796234773

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 6.023255814 3 2.007751938 0.298559078 0.82640531 2.658398986
Within Groups 1129.767442 168 6.724806202

Total 1135.790698 171

The ANOVA table shows that the “Between Groups” factor has a sum of squares (SS) of 6.023256, a degree of freedom (df) of 3, and a mean square (MS) of 2.007751.
The “Within Groups” factor has an SS of 1129.77 and a df of 168, resulting in an MS of 6.724806.
The F-ratio calculated by dividing the MS for the “Between Groups” factor by the MS for the “Within Groups” factor is 0.298559, which corresponds to a P-value of 0.826405.
The P-value associated with the F-ratio is 0.826405, which is greater than the conventional threshold of 0.05. This indicates that there is no significant difference between the means of the groups.
The critical F-value for this analysis, based on a significance level of 0.05 and the degrees of freedom for the “Between Groups” and “Within Groups” factors, is 2.658399. The obtained F-ratio is smaller than the critical F-value, indicating that there is no significant difference between the means of the groups.
H0 accepted.

Conclusion: All are the same.

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