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Roopam Barman
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Roopam Barman
@redvey10
20 | Tech | Chess | Fluttering through UI/UX
Katılım Temmuz 2023
269 Takip Edilen49 Takipçiler
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@wh0sumit Need 4k access G. This is not supporting mac.
pixels are burrr.
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Roopam Barman retweetledi
Roopam Barman retweetledi
Roopam Barman retweetledi

My college principal has no idea that his daughter is my girlfriend, but today fate decided to speedrun my funeral.
We were peacefully eating ice cream, minding our own business, when suddenly the principal, his wife, AND his son walked into the same ice cream parlor.
Bro, why was his whole family tree there? Did the universe schedule an intervention for me?
Me standing there like, “Yep, this is where my academic career, relationship, and soul all get rejected in one go.”
The principal starts interrogating me:
- Why are you here?
- Give your father's phone number
- When will you pay the college fee?
But then his wife saved us – she's my math professor!
But his 11-year-old son was judging me harder than my GPA.
All three of them had completely different personalities:
- Principal: strict and outdated
- Wife: modern and chill
- Son: judgmental
Honestly, the amount of difference between these three people needs an ANOVA test.
ANOVA is nothing but a statistical way to compare the means of three or more groups to determine if there's a significant difference between them.
Formula:
F = MSB / MSW
MSB = SSB / (k − 1)
MSW = SSW / (N − k)
SSB = Σ n (x̄ᵢ − GM)²
SSW = Σ (n − 1) sᵢ²
Where:
- F: F-statistic
- MSB: Mean Square Between groups
- MSW: Mean Square Within groups
- SSB: Sum of Squares b/w groups
- SSW: Sum of Squares Within groups
- k: Number of groups
- N: Total number of observations
MSB tells us how much the group means vary from the overall mean.
MSW tells us how much individual values vary within each group.
If F is big → Differences are too large to be random
If F is small → Differences could just be noise
Let's take an example:
A chips company claims their new flavor tastes better than tomato flavor and onion flavor.
They test 30 customers with tomato flavor (avg. rating: 7.2), 30 customers with onion flavor (avg. rating: 6.9) and 30 customers with the new flavor (avg. rating: 8.1). Standard deviations are 1.5, 1.0, and 1.3 respectively.
Sample sizes
- n₁ = 30
- n₂ = 30
- n₃ = 30
Sample means
- x̄₁ = 7.2
- x̄₂ = 6.9
- x̄₃ = 8.1
Standard deviations
- s₁ = 1.5
- s₂ = 1.0
- s₃ = 1.3
Question: Do the data show a statistically significant difference in mean ratings?
Let's solve step by step:
Step 1: Hypotheses
H₀: All means are equal
H₁: At least one mean is different
Step 2: Calculate Grand Mean (GM)
- x̄₁ = 7.2
- x̄₂ = 6.9
- x̄₃ = 8.1
- GM = (7.2 + 6.9 + 8.1) / 3
- GM = 7.4
Step 3: Calculate SSB
SSB = Σ n (x̄ᵢ − GM)²
+ 30(7.2 − 7.4)²
+ 30(6.9 − 7.4)²
+ 30(8.1 − 7.4)²
SSB = 23.40
Step 4: Calculate SSW
- SSW = Σ (n − 1) sᵢ²
- 29(1.5)² + 29(1.0)² + 29(1.3)²
- 143.26
Step 5: Calculate MSB and MSW
- k = 3, N = 90
- MSB = SSB / (k − 1)
- 23.40 / 2
- 11.70
- MSW = SSW / (N − k)
- 143.26 / 87
- 1.6467
Step 6: Calculate F-statistic
- F = MSB / MSW
- 11.70 / 1.6467
- 7.11
Step 7: Calculate Degrees of freedom
- df₁ = k − 1 = 2
- df₂ = N − k = 87
Step 8: Determine Critical Value
- Search F-Table on Google
- and check critical value for
- α = 0.05, df₁ = 2, df₂ = 87
According to the F-table, critical value is 3.10
Step 9: Decision
Since F = 7.11 > 3.10, reject H₀.
Final Answer:
Yes, there is a statistically significant difference in mean ratings among the three flavors (the new flavor differs from at least one of the others).
Congratulations 🎉, you've just learned ANOVA!
Bonus: Applications of ANOVA in Real Life & AI/ML
1. Manufacturing Quality Control: Companies use ANOVA to compare product quality from different production lines or machines to identify which ones need maintenance.
2. Marketing & A/B Testing: ANOVA helps compare effectiveness of multiple marketing campaigns, ad designs, or pricing strategies simultaneously.
3. ML Model Selection: Data scientists use ANOVA to compare performance of multiple machine learning models across different datasets to find the best one.
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@lochan_twt special thanks to him and his Cold email template. Really thankful to have people like him in my circle.
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Bro, I just cleared the round for Frontend Developer (3+ years experience) 😭😭😭😭.
My current experience is less than 8 months, and that too in React Native.
Final round is with the Frontend Head.
All thanks to @kirat_tw not gonna lie, I didn’t even take the course seriously. I only followed the React part to give technical sessions.

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Roopam Barman retweetledi
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I injured my left shoulder while doing shoulder press , the last set's final rep did the damage for me. My form was compromised due to heavy weight and boom. Even tho I could finish the rest of the exercise but this morning I couldn't get up nor could I move my head freely.
Pranav Mehta@i_pranavmehta
Accidents are common in the gym, that's why having proper safety measures (safety bars in this case) is important! Left wrist turned in the middle of the set- the 112KG coming right at my throat would've deleted me had my setup not been safe.
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