Title:
Analysis of Vegetable Ratings using ANOVA
Author:
Ashwini Rathod (100)
Introduction:
Vegetables are an important part of a healthy diet, and their consumption varies among individuals. Evaluating the ratings of vegetables helps in understanding preferences, taste, and overall liking. This study examines the perceived preference of selected vegetables, where they are rated by respondents.
Objective:
To analyze vegetable ratings and observe whether there is a significant difference in their mean values using ANOVA One-way in order to determine whether significant difference exist among them
Literature Review:
Kumar and Singh (2020) analyzed consumer food preferences and found that taste, nutritional value, and cultural habits significantly influence the choice of vegetables. The study concluded that different individuals have varied preferences, which leads to differences in ratings.
Sharma (2021) explained the application of ANOVA in comparing multiple groups and stated that it is an effective statistical technique to identify whether there are significant differences between group means. The study highlighted that ANOVA is widely used in survey-based research to analyze variation in responses.
Data Collection:
Four vegetables — Bitter Gourd, Okra (Lady Finger), Potato, and Eggplant — were selected for the study. The data for this study was collected using primary research methods through a structured survey distributed via Google Forms. A total of 40 responses were recorded.
Participants were asked to rate each vegetable on a scale of 1 to 10 based on their taste, preference, and overall liking. The collected data was entered into Microsoft Excel and analyzed using One-Way ANOVA to identify whether there are any significant differences in preferences among the vegetables.
Data Analysis:
|
Anova: Single Factor |
||||||
|
SUMMARY |
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|
Groups |
Count |
Sum |
Average |
Variance |
||
|
Bitter gourd |
40 |
254 |
6.35 |
7.771794872 |
||
|
Okra(lady finger) |
40 |
264 |
6.6 |
5.835897436 |
||
|
Potato |
40 |
298 |
7.45 |
6.51025641 |
||
|
Eggplant |
40 |
254 |
6.35 |
6.694871795 |
||
|
ANOVA |
||||||
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
32.675 |
3 |
10.89166667 |
1.624844602 |
0.185838 |
2.662569 |
|
Within Groups |
1045.7 |
156 |
6.703205128 |
|||
|
Total |
1078.375 |
159 |
|
|
|
|
H₀ = All vegetables are equally preferred
H₁ = At least one vegetable is preferred differently
Description:
The ANOVA results show that the F value is 1.6248 and the P-value is 0.1858, which is greater than 0.05. This indicates that the model is not statistically significant at the 5% level. Since the P-value is greater than 0.05, we fail to reject the null hypothesis.
This means that there is no significant difference in the average ratings of the vegetables. The variation in ratings is due to random factors rather than actual preference differences.
Conclusion:
As calculated, F (1.6248) is less than F crit (2.6626). Therefore, we accept the null hypothesis (H₀), which means there is no significant difference in the preference of vegetables.
.
Reference:
Kumar, A., & Singh, R. (2020). Consumer preferences towards food products in India. International Journal of Consumer Studies, 44(2), 120–128.
Sharma, P. (2021). Application of ANOVA in social science research. Journal of Statistics and Management, 15(1), 55–62.