{"id":37362,"date":"2026-08-23T13:15:56","date_gmt":"2026-08-23T07:45:56","guid":{"rendered":"https:\/\/atsixty.com\/?p=37362"},"modified":"2026-08-23T20:45:51","modified_gmt":"2026-08-23T15:15:51","slug":"index-to-biostatistics","status":"publish","type":"post","link":"https:\/\/atsixty.com\/index.php\/morning-rounds\/index-to-biostatistics\/","title":{"rendered":"Index to Biostatistics"},"content":{"rendered":"\n<meta charset=\"UTF-8\">\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n<title>Morning Rounds \u00b7 PSM Numericals \u00b7 Series Index<\/title>\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Playfair+Display:ital,wght@0,400;0,600;0,700;1,400;1,600&amp;family=Source+Serif+4:ital,wght@0,300;0,400;0,600;1,400&amp;display=swap\" rel=\"stylesheet\">\n<style>\n#nps-index *,#nps-index *::before,#nps-index *::after{box-sizing:border-box;margin:0;padding:0}\n#nps-index{\n  font-family:'Source Serif 4',Georgia,serif;\n  font-size:16px;color:#0F2A35;background:#F2F8FA;\n  line-height:1.8;padding:0 0 64px;\n}\n#nps-index .di-header{\n  background:linear-gradient(135deg,#114455 0%,#1A5F7A 60%,#236E8C 100%);\n  color:#E4F4F9;padding:36px 24px 30px;text-align:center;\n  position:relative;overflow:hidden;\n}\n#nps-index .di-header::before{\n  content:'';position:absolute;inset:0;\n  background:repeating-linear-gradient(45deg,transparent,transparent 18px,rgba(255,255,255,0.03) 18px,rgba(255,255,255,0.03) 19px);\n}\n#nps-index .di-eyebrow{font-size:0.68rem;letter-spacing:0.18em;text-transform:uppercase;font-weight:600;opacity:0.65;margin-bottom:10px;position:relative;}\n#nps-index .di-title{font-family:'Playfair Display',serif;font-size:1.9rem;font-weight:700;line-height:1.2;margin-bottom:6px;position:relative;}\n#nps-index .di-title em{font-style:italic;font-weight:400;opacity:0.88}\n#nps-index .di-subtitle{font-size:0.85rem;opacity:0.72;font-style:italic;margin-top:8px;position:relative;}\n#nps-index .di-body{max-width:740px;margin:0 auto;padding:0 20px;}\n#nps-index .di-intro{margin:36px 0 28px;font-size:0.97rem;color:#0F2A35;line-height:1.82;}\n#nps-index .di-intro p{margin-bottom:1.1em;}\n#nps-index .di-intro p:last-child{margin-bottom:0;}\n#nps-index .di-section-head{\n  font-family:'Playfair Display',serif;font-size:1.15rem;font-weight:700;\n  color:#1A5F7A;margin:36px 0 18px;padding-bottom:6px;\n  border-bottom:2px solid #B8D8E3;\n}\n#nps-index .di-card{\n  background:#F8FCFD;border:1px solid #B8D8E3;border-left:4px solid #1A5F7A;\n  border-radius:10px;padding:18px 20px 16px;margin-bottom:16px;\n  box-shadow:0 1px 5px rgba(15,42,53,0.06);\n}\n#nps-index .di-card-link-head{text-decoration:none;color:inherit;display:block;}\n#nps-index .di-card-link-head:hover .di-card-title{text-decoration:underline;text-underline-offset:3px;}\n#nps-index .di-card-num{font-size:0.62rem;font-weight:700;letter-spacing:0.14em;text-transform:uppercase;color:#1A5F7A;opacity:0.75;margin-bottom:4px;}\n#nps-index .di-card-title{font-family:'Playfair Display',serif;font-size:1.05rem;font-weight:700;color:#0F2A35;margin-bottom:6px;}\n#nps-index .di-card-title .di-arrow{font-size:0.78rem;opacity:0.45;font-style:normal;margin-left:5px;}\n#nps-index .di-card-body{font-size:0.88rem;color:#2A4D5A;line-height:1.72;margin-bottom:12px;}\n#nps-index .di-card-footer{display:flex;justify-content:flex-end;}\n#nps-index .di-card-link{\n  display:inline-block;background:#1A5F7A;color:#E4F4F9;text-decoration:none;\n  font-family:'Playfair Display',serif;font-size:0.82rem;font-weight:700;\n  padding:7px 18px;border-radius:6px;transition:background 0.15s;\n}\n#nps-index .di-card-link:hover{background:#114455;}\n#nps-index .di-beyond{\n  background:#F8FCFD;border:1px solid #B8D8E3;border-radius:10px;\n  padding:20px 22px;margin:28px 0 0;font-size:0.88rem;color:#2A4D5A;line-height:1.72;\n}\n#nps-index .di-beyond-head{font-family:'Playfair Display',serif;font-size:0.95rem;font-weight:700;color:#0F2A35;margin-bottom:8px;}\n#nps-index .di-feedback{\n  margin-top:20px;padding:22px 22px 20px;\n  background:#E6F3F7;border:1px solid #B8D8E3;\n  border-radius:10px;font-size:0.88rem;color:#2A4D5A;line-height:1.72;\n}\n#nps-index .di-feedback-head{font-family:'Playfair Display',serif;font-size:0.95rem;font-weight:700;color:#1A5F7A;margin-bottom:8px;}\n#nps-index .di-note{margin-top:32px;font-size:0.82rem;color:#5A7D8A;font-style:italic;text-align:center;line-height:1.6;}\n@media(max-width:480px){\n  #nps-index .di-title{font-size:1.5rem}\n  #nps-index .di-card{padding:14px 16px 13px}\n}\n<\/style>\n\n<div id=\"nps-index\">\n\n  <div class=\"di-header\">\n    <div class=\"di-eyebrow\">Morning Rounds \u00b7 Numerical Series \u00b7 PSM Biostatistics<\/div>\n    <div class=\"di-title\">\n      PSM Numericals<br><em>A Guide to the Biostatistics &amp; Epidemiology Series<\/em>\n    <\/div>\n    <div class=\"di-subtitle\">Seven calculation-focused rounds \u00b7 35 questions \u00b7 NEET-PG \/ INI-CET \/ UPSC CMS \u00b7 +4 \/ \u22121 scoring<\/div>\n  <\/div>\n\n  <div class=\"di-body\">\n\n    <div class=\"di-intro\">\n      <p>Biostatistics and epidemiology numericals in Indian PG entrance examinations test two separate skills that candidates often conflate: getting the formula right, and getting the denominator right. A candidate who knows that sensitivity equals true positives divided by all diseased will still drop the mark if they put total population in the denominator instead of the disease-present column. The formula is the easy part. The denominator is where the examination happens \u2014 and every round in this series is built around that reality.<\/p>\n      <p>The seven rounds progress from the 2\u00d72 table outward. Rounds 01 through 03 establish the foundation: building the table correctly, deriving sensitivity and specificity from it, and then understanding how PPV and NPV behave when prevalence changes. A 95% sensitivity and 95% specificity test \u2014 which sounds bulletproof \u2014 produces fewer than 1 in 10 true positives when applied to a condition with 0.5% prevalence. That number surprises most candidates the first time they calculate it, and it is the kind of result that examiners return to repeatedly because it exposes whether a candidate genuinely understands the metric or has simply memorised the formula.<\/p>\n      <p>Rounds 04 and 05 move into treatment effect measures and outbreak arithmetic. The RRR-without-ARR problem \u2014 a 37.5% relative risk reduction that corresponds to an absolute reduction of only 3 percentage points \u2014 is the pharmaceutical marketing trap dressed as an exam question. The SAR denominator question \u2014 whether to include or exclude the index case \u2014 is a one-number difference that changes the answer from 60% to 75% and is tested directly. Rounds 06 and 07 close the series on vital statistics and nutrition, where the traps are multipliers and cut-offs: IMR per 1000 live births, MMR per 100,000, India-specific BMI thresholds that differ from standard WHO, and the Atwater factor for fat that is 9, not 4.<\/p>\n    <\/div>\n\n    <div class=\"di-section-head\">The Seven Rounds<\/div>\n\n    <!-- Round 01 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/biostatistics\/\">\n        <div class=\"di-card-num\">Round 01 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">The 2\u00d72 Table &amp; Its Four Cells <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        The foundation of every biostatistics question in this series. Five questions build the table from raw numbers, identify what each cell means clinically, fill the table from prevalence plus sensitivity and specificity, calculate the false positive rate and distinguish it from PPV, and trace what happens to all four cells simultaneously when the cut-off is lowered. The column-sum verification method is introduced in the first debrief and applied throughout \u2014 the fastest way to catch a cell-assignment error before committing to a rate calculation.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/biostatistics\/\">Open Round 01 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 02 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/biostatistics-sensitivity-specificity\/\">\n        <div class=\"di-card-num\">Round 02 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">Sensitivity, Specificity &amp; the False Rates <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        Sensitivity and specificity calculated from the table, with each denominator made explicit \u2014 TP+FN for sensitivity, TN+FP for specificity, both within a single column rather than across rows. The prevalence independence of both metrics is tested directly: the same test applied in a 10% prevalence clinic and a 1% prevalence community survey returns identical sensitivity and specificity \u2014 only PPV and NPV change. The round closes on SnNout and SpPin applied to a real screening decision, with the choice between two tests made on sensitivity grounds rather than specificity.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/biostatistics-sensitivity-specificity\/\">Open Round 02 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 03 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/biostatistics-ppv-npv-the-prevalence-effect\/\">\n        <div class=\"di-card-num\">Round 03 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">PPV, NPV &amp; the Prevalence Effect <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        The round where prevalence becomes clinically dangerous. PPV and NPV are calculated from row denominators \u2014 TP+FP and TN+FN respectively \u2014 and then watched as prevalence falls from 10% to 1%: PPV crashes from 33% to 4% while NPV rises from 98.6% to 99.9%, with full arithmetic in the debriefs. The series closes on a national screening scenario for a rare autoimmune condition: a 95%\/95% test, prevalence 0.5%, positive predictive value 8.7%. Fewer than 1 in 10 positive results represent true disease. A woman told she almost certainly has the condition is almost certainly being misled.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/biostatistics-ppv-npv-the-prevalence-effect\/\">Open Round 03 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 04 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/biostatistics-nnt-nnh-arr-rrr-the-risk-ratios\/\">\n        <div class=\"di-card-num\">Round 04 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">NNT, NNH, ARR, RRR &amp; the Risk Ratios <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        Treatment effect measures from first principles. ARR and NNT are calculated together \u2014 NNT = 1\u00f7ARR as a decimal, rounded up \u2014 then RRR is shown to be arithmetically correct but clinically incomplete without the absolute figures it is derived from. A drug reducing stroke risk from 8% to 5% and a drug reducing risk from 0.2% to 0.125% share the same RRR of 37.5%; their NNTs are 34 and 1333. Relative risk is calculated for a cohort study, odds ratio for a case-control study using the cross-product formula, and NNH for a statin trial where the question of whether NNH exceeding NNT constitutes net benefit is answered: severity of outcomes matters equally, and myopathy and stroke are not equivalent.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/biostatistics-nnt-nnh-arr-rrr-the-risk-ratios\/\">Open Round 04 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 05 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/biostatistics-attack-rate-sar-herd-immunity\/\">\n        <div class=\"di-card-num\">Round 05 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">Attack Rate, SAR &amp; Herd Immunity <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        Outbreak arithmetic starting with a banquet gastroenteritis, where attack rate denominator is total exposed rather than non-cases, and food-specific attack rates in eaters versus non-eaters identify the vehicle. The secondary attack rate question turns on a single number: the index case is excluded from the denominator, changing the answer from 60% to 75% \u2014 and the difference matters because SAR measures transmissibility within a contact group, not across a whole household including the source. Herd immunity threshold is derived from R0 using HIT = 1\u22121\/R0 for measles at R0=15 giving 93.3%, with the critical point that HIT must be maintained continuously rather than achieved once. The round closes on back-calculating R0 from a known threshold, with a reference table of R0 values placing influenza correctly at the low end, not the high end.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/biostatistics-attack-rate-sar-herd-immunity\/\">Open Round 05 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 06 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/vital-statistics-imr-mmr-fertility-beyond\/\">\n        <div class=\"di-card-num\">Round 06 \u00b7 PSM Numerical Series<\/div>\n        <div class=\"di-card-title\">Vital Statistics \u2014 IMR, MMR, Fertility &amp; Beyond <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        Denominators and multipliers for the four most examined vital statistics. IMR uses live births as denominator and 1000 as multiplier. MMR uses live births and 100,000 \u2014 the multiplier difference between these two is the most common error in this topic \u2014 and is called a ratio rather than a rate because live births are a proxy for the at-risk population, not the at-risk population itself. TFR requires multiplying the sum of age-specific fertility rates by the age-group interval of 5; India's TFR has now fallen to 2.0, below the replacement level of 2.1, for the first time. The dependency ratio question embeds the India demographic dividend context, and the round closes on the CDR age-structure confounding problem \u2014 why a district with better health outcomes can have a higher crude death rate than one with worse outcomes, and why standardised rates are mandatory for cross-population mortality comparisons.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/vital-statistics-imr-mmr-fertility-beyond\/\">Open Round 06 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Round 07 -->\n    <div class=\"di-card\">\n      <a class=\"di-card-link-head\" href=\"\/index.php\/psm\/nutrition-statistics-calories-bmi-rda\/\">\n        <div class=\"di-card-num\">Round 07 \u00b7 PSM Numerical Series \u00b7 Series Finale<\/div>\n        <div class=\"di-card-title\">Nutrition Numericals \u2014 Calories, BMI &amp; RDA <span class=\"di-arrow\">\u2197<\/span><\/div>\n      <\/a>\n      <div class=\"di-card-body\">\n        The series closes on three Atwater factors \u2014 carbohydrate 4, protein 4, fat 9 \u2014 and every nutrition calculation that flows from them. Total caloric value of a mixed meal, energy deficit arithmetic for weight loss (7700 kcal per kg of adipose tissue, not 9000 kcal which would be pure fat), BMI calculation with the height-in-metres conversion trap and the India-specific cut-offs that begin overweight at 23 rather than 25 because South Asians develop metabolic complications at lower BMI values than the Caucasian populations on which standard WHO thresholds were based. ICMR protein RDA for pregnancy adds 23 g to the weight-based base requirement \u2014 distinct from the WHO base figure and the lactation addition. The round closes on macronutrient distribution arithmetic: percentage of total calories converted to kcal, then divided by the correct Atwater factor for that macronutrient \u2014 where dividing fat kcal by 4 instead of 9 is the single most common error.\n      <\/div>\n      <div class=\"di-card-footer\">\n        <a class=\"di-card-link\" href=\"\/index.php\/psm\/nutrition-statistics-calories-bmi-rda\/\">Open Round 07 \u2192<\/a>\n      <\/div>\n    <\/div>\n\n    <!-- Beyond -->\n    <div class=\"di-beyond\">\n      <div class=\"di-beyond-head\">Topics not covered in this series<\/div>\n      This series covers the PSM numericals most consistently examined at NEET-PG, INI-CET, and UPSC CMS level but is not exhaustive. Areas outside these seven rounds include: likelihood ratios and pre\/post-test probability calculations, Bayesian updating in clinical reasoning, receiver operating characteristic curves and area under the curve, sample size calculations and statistical power, confidence intervals and p-value interpretation, chi-square and t-test mechanics, standardised mortality ratios from indirect standardisation, and the full range of ICMR nutritional survey benchmarks beyond protein and caloric values. Each of these warrants separate treatment and will be addressed in future rounds as examination frequency analysis confirms their priority.\n    <\/div>\n\n    <!-- Feedback -->\n    <div class=\"di-feedback\">\n      <div class=\"di-feedback-head\">A note for examinees<\/div>\n      PSM biostatistics questions at NEET-PG reward the candidate who reads the denominator before touching the formula. Sensitivity and PPV can use the same numerator (TP) and still mean entirely different things because their denominators are different. A 37.5% relative risk reduction and a 3% absolute risk reduction can describe the same trial result; only one of them tells you how many patients you need to treat. A crude death rate of 12 per 1000 can coexist with better health outcomes than a district reporting 7 per 1000 if the age structures differ. In every case, the number is only as useful as the denominator it is sitting on. If any question in this series is factually incorrect, set at the wrong level, or missing a nuance that matters in examination practice, the contact page is open. Corrections sharpen every subsequent round.\n    <\/div>\n\n    <!-- SR link -->\n    <div class=\"di-feedback\" style=\"margin-top:16px;background:#F2F8FA;border-color:#B8D8E3;\">\n      <div class=\"di-feedback-head\">Summative Revision<\/div>\n      A companion summative revision file covers all seven topics in condensed form \u2014 formula reference table, denominator anchors, sensitivity-specificity-PPV-NPV direction table, vital statistics multiplier guide, India-specific cut-offs and benchmarks, and the traps examiners set most often \u2014 designed for rapid pre-exam consolidation rather than first-time learning. <a href=\"\/index.php\/psm\/summative-revision-notes\/\" style=\"color:#1A5F7A;font-weight:600;\">Open Summative Revision \u2192<\/a>\n    <\/div>\n\n    <div class=\"di-note\">\n      Morning Rounds \u00b7 atsixty.com \u00b7 Numerical Series \u00b7 PSM Biostatistics &amp; Epidemiology \u00b7 Seven rounds \u00b7 35 questions \u00b7 +4 \/ \u22121 scoring \u00b7 NEET-PG \/ INI-CET \/ UPSC CMS\n    <\/div>\n\n  <\/div>\n<\/div>\n\n\n","protected":false},"excerpt":{"rendered":"<p>Morning Rounds \u00b7 PSM Numericals \u00b7 Series Index Morning Rounds \u00b7 Numerical Series \u00b7 PSM Biostatistics PSM NumericalsA Guide to the Biostatistics &amp; Epidemiology Series Seven calculation-focused rounds \u00b7 35 questions \u00b7 NEET-PG \/ INI-CET \/ UPSC CMS \u00b7 +4 \/ \u22121 scoring Biostatistics and epidemiology numericals in Indian PG entrance examinations test two separate&hellip;&nbsp;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[74,96],"tags":[97],"class_list":["post-37362","post","type-post","status-publish","format-standard","hentry","category-morning-rounds","category-psm","tag-biostatistics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - 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