@vivekraju93 Worked in this domain deeply for a couple of years at one of the peers for Porter at the time. They definitely deserve recognition for pretty much monopolizing a very difficult to scale market and sustaining against very well funded companies at the time.
@SandeepMall Hi @SandeepMall I'm sure you've explored open access. Any reason for not going through with it? The transmission and other charges are a small % of the consumption cost from grid.
@brahma_4u A small pressure washer works well for residential consumers. Industrial, once a week is recommended, so they can definitely take a couple hours and clean it.
The most common issues that come up is water stagnant on the panels due to low slope or hard water salt deposits.
watching countries go to war while charles and alexandra drive off in a stunning ferrari, as i open claude to work while seeing anthropic spar with the government, all while trying to hit my protein intake, feels like a very interesting time to be alive.
An underrated path to self-improvement is to get with somebody who has an unrealistically high opinion of you and to fight every day to not disappoint them
@yatinmota This would need a fact check. 18.5 tons for 1gw maybe true. But multiplication by 250mwh is incorrect. Same thing for household usage comparison. Way off.
Daily non-negotiables for 2026.
1. Wake up before 5
2. Read a book 15 mins min
3. Zero Processed Sugar
4. Screen time for socials < 1 hr
5. Physical activity 1 hr min
(Run, Jump rope, Strength train, Cycle etc)
6. Practice a new skill 30 min min
(Duolingo, Touch type, Course, Guitar etc)
Committing for January, then we take it ahead month by month. See you with this habit tracker on 31st Jan ✨
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.
When I first joined my current company (been here for many years) the founders told me two things.
The first said - we move really fast, which means you have to get things to a done state fast. Don’t leave open threads because you won’t be able to manage them once you move on to the next thing.
The second said - if you see a mess somewhere, clean it up. Anywhere. Literally if the lunch table is dirty clean it up. We have more things to do than people to do it and you just need to fix any problem you see.
It’s kind of unbelievable how durable that advice was from a couple of 20-something dudes who just started a business.
I beg you to try your best to fix your life just for once and lock in for 3 months.
once you see a glimpse of your true potential, you will find it hard to go back to your current pathetic self.
once you earn some money, taste some freedom and feel some recognition, you will crave for more.
then you won’t need any cheap motivation. your hunger for the high you feel in these 3 months will fuel you to go beyond your limits.
As a young guy, I thought life would be perfect once I had money in the bank. But even a 10-day holiday with no problems made me dull. There’s only so much reading, cloud-watching, or wave-listening you can do before it all feels empty.