Math, Applied
Exploring how math and data shape real-world decisions.
Breaking down complex systems into ideas we can actually use.
Ganita
Hi, I'm Ganita. Describe a decision or data problem in plain language and I'll point you to the best posts here.
Example: “We ran twenty A/B tests and three won. Should we ship them?”
Summarize the data
Means, spread, percentiles, and when one number misleads.
Prime Factorization Isn't Just Math: It's How You Break Down Real Problems
Clean batch splits, ETL jobs, and resource planning from number structure.
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The Average Isn't the Answer: Mean and Median in Real Data
When one summary number misleads dashboards and product decisions.
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Percent Change Isn't Intuitive: Growth Math in Real Decisions
Why recovery percentages do not undo drops, and how to set targets.
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Variance and Spread: Same Average, Different Story
Standard deviation and range for delivery, ops, and reliability.
Read moreThe Average User Isn't Average: Percentiles and Quartiles
P90, SLAs, latency tails, and typical vs worst-case experience.
Read moreWeighted Averages: Roll Up the Number That Matches Volume
Simple vs volume-weighted rollups when segment sizes differ.
Read moreUp 10% Compared to What? Benchmarks and Baselines
Same metric, different story: last month, last year, plan, or peer.
Read moreThe New Users Look Great: Cohort Analysis in Real Decisions
Headline retention vs signup cohorts: when the mix shifts and when product quality actually changed.
Read moreMore Tickets, Same Workload? Rates vs Counts in Real Data
Total volume vs per-user rate: when headline counts rise because the base grew.
Read moreUp From Last Month: Is That Normal for March? Seasonality
Month-over-month vs same month last year when the calendar drives the metric.
Read moreExperiments and uncertainty
Sample size, probability, intervals, and when to ship.
Twelve Data Points Isn't a Trend: Sample Size in Real Decisions
A/B tests, noisy averages, and when a readout is too thin to ship.
Read moreWe Ran the Test: Could We Even See a Win? Statistical Power
Detectability before you launch: sample size, baseline, and minimum lift together.
Read moreProbability in Real Decisions: Count Wins, Not Stories
Estimate win rates from trials and know when the read is still shaky.
Read moreWill We Run Out? Probability of Stockout in Real Inventory Decisions
Set reorder points using explicit stockout risk instead of gut feel.
Read moreOne Number Is Not Enough: Confidence Intervals
Ranges around conversion, CSAT, and defect rates before you ship.
Read moreBase Rates and Updating Beliefs: Rare Events, Loud Alerts
Why a strong alert can still mean mostly false alarms when the base rate is low.
Read moreA/B Test Readouts: Significance Without Jargon
Lift, sample size, interval overlap, and when to ship without p-value talk.
Read moreWhen Everything Wins Once: Running Many A/B Tests
False winners multiply when you run dozens of null tests in one sprint.
Read moreSimpson's Paradox: When Every Slice Wins but the Total Loses
Segment tables before rollups so mix shifts do not flip the winner.
Read moreFalse Alarm vs Missed Win: Two Ways an Experiment Decision Goes Wrong
Ship a bad change vs kill a good one: pick which mistake you can afford.
Read moreExpected Value: Compare Bets Without Guessing
Rank campaigns by upside, probability, and cost before spend.
Read moreTraps and causation
Bias, confounders, and conclusions that look right but are not.
Correlation Isn't Causation: Linked Data in Real Decisions
Confounders, direction, and what you need before acting on r.
Read moreYour Best Customers Answered: Selection Bias
Surveys, betas, and who never made it into the sample.
Read moreOnly the Winners Stay Visible: Survivorship Bias
Success stories hide failures that left the dataset before you measured.
Read moreYou Hit the Target and Missed the Point: Goodhart's Law
When the metric becomes the goal, the dashboard greens while the real outcome reddens.
Read moreThe Star Performer Slump: Regression to the Mean
Sales quotas, support metrics, and snap-back after extreme scores.
Read moreThe Model Looked Perfect on Past Data: Overfitting in Real Decisions
Train vs holdout: when forecasts memorize history instead of predicting new weeks.
Read moreRegression for Prediction: Data to Decisions
Weekly orders from ad spend and email, with forecast, holdout, and scenarios.
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