Total fertility rate is derived how ? And what r it's limitations
total fertility rate derivation calculation age specific fertility rate limitations
ASFR = (Number of live births in a particular age group / Mid-year female population of the same age group) × 1000
TFR = (5 × Σ ASFR) / 1000
| Age Group | Women | Births | ASFR (per 1000) |
|---|---|---|---|
| 15-19 | 593,262 | 36,784 | 62.0 |
| 20-24 | 587,076 | 81,213 | 138.3 |
| 25-29 | 505,362 | 65,236 | 129.1 |
| 30-34 | 424,186 | 37,506 | 88.4 |
| 35-39 | 385,749 | 17,532 | 45.4 |
| 40-44 | 325,105 | 4,929 | 15.2 |
| 45-49 | 266,575 | 512 | 1.9 |
| Sum | 480.3 |
| # | Limitation | Explanation |
|---|---|---|
| 1 | Hypothetical / synthetic cohort | TFR does not follow any real group of women. It assumes all women alive today at different ages will reproduce according to current rates - a fiction. No single real cohort actually experiences the TFR. |
| 2 | Tempo effect (period distortion) | TFR is very sensitive to when women choose to have children. If women delay childbearing (e.g., due to education or economic reasons), TFR will appear artificially low even if completed family size stays the same. Conversely, if they "catch up" later, TFR overshoots. |
| 3 | No mortality adjustment | TFR assumes all women survive to age 49 with no deaths. It does not account for the possibility that some women die before completing their reproductive years (unlike NRR which does). |
| 4 | Period measure, not cohort measure | It uses cross-sectional data from a single year, mixing rates from different generations. It cannot predict what any real cohort will actually achieve. |
| 5 | Data quality dependence | TFR relies on accurate birth registration and accurate denominators (census/population estimates). In countries with poor civil registration or age misreporting, the ASFRs - and therefore the TFR - will be unreliable. |
| 6 | Does not account for migration | Women may move in or out of the population during their reproductive years, affecting both numerators and denominators in ways the TFR cannot capture. |
| 7 | Ignores marriage/union status | TFR lumps all women together. Since unmarried women have very different fertility from married women in many populations, a TFR shift may reflect changes in marriage patterns, not true reproductive behavior changes. The Total Marital Fertility Rate (TMFR) was developed to address this. |
| 8 | Cannot distinguish parity | It gives no information about the distribution of births (e.g., whether the TFR of 2.4 comes from most women having 2 children, or from some having 6 and others having none). |
| Measure | What it adds over TFR |
|---|---|
| Gross Reproduction Rate (GRR) | Counts only girl babies; still ignores mortality |
| Net Reproduction Rate (NRR) | Counts girl babies AND accounts for mortality; NRR = 1 = replacement level |
| Total Marital Fertility Rate (TMFR) | Restricts to married women; removes marriage-pattern distortion |
Rate and ratio in PSM
| Component | Description |
|---|---|
| Numerator | Number of times the event occurred |
| Denominator | Population at risk (numerator is part of denominator) |
| Time specification | Usually a calendar year |
| Multiplier | A constant (1000, 10,000, 100,000) to avoid fractions |
Rate = (Numerator / Denominator) × Multiplier (K)
Death rate = Number of deaths in one year / Mid-year population × 1000
| Type | Description | Example |
|---|---|---|
| Crude rates | Actual observed rates; unstandardized | Crude birth rate, crude death rate |
| Specific rates | Rates for specific causes, groups, or time periods | Age-specific, sex-specific, cause-specific rates |
| Standardized rates | Adjusted for confounders (age/sex) by direct or indirect method | Age-standardized mortality rate |
Ratio = x : y or x/y
Proportion = Number of children with scabies / Total number of children in the village × 100
| Feature | Rate | Ratio | Proportion |
|---|---|---|---|
| Numerator part of denominator? | Yes | No | Yes |
| Time dimension | Mandatory | Optional | Optional |
| Expressed as | Per 1000/10,000 | x:y or x/y | Percentage |
| Measures | Risk over time | Relative comparison | Part of whole |
| Example | Death rate (per 1000/year) | Sex ratio (M:F) | % deaths from TB |
| Type | Meaning |
|---|---|
| Mid-year population | Population on 1st July of a year (most common) |
| Population at-risk | Only those who could have experienced the event (e.g., only women 15-49 for fertility rate) |
| Person-time | Used in cohort studies when people enter at different times; e.g., 10 people × 10 years = 100 person-years |
| Person-distance | Variant of person-time; e.g., passenger-miles |
| Sub-groups | Age, sex, occupation, social class |
Rate = Part/Whole + Time (risk measurement) Ratio = Any two quantities compared (unrelated groups) Proportion = Part/Whole × 100 (no time needed)
Still birth vs abortion vs dead born
stillbirth vs abortion vs dead born PSM Park's definition WHO viability weeks
Viability = the physical ability of a fetus to lead a separate existence after birth, by virtue of a certain degree of development.
| Feature | Details |
|---|---|
| Definition | Expulsion or extraction of a product of conception from the mother before viability |
| Gestational age | < 28 weeks (classical PSM / Indian legal definition) |
| Weight | < 1000 g (ICD-10 criterion) |
| Signs of life | Irrelevant - product is pre-viable |
| Counted in | NOT counted in perinatal statistics or stillbirth rate |
| Types | Spontaneous (miscarriage) or induced (therapeutic/criminal) |
| Also called | Miscarriage (spontaneous), termination (induced) |
In modern international usage (WHO/ICD): fetal loss < 22 weeks or < 500 g = abortion/miscarriage; 22-28 weeks is a "grey zone" varying by country.
| Feature | Details |
|---|---|
| Definition (WHO/PSM) | Late foetal death - death of a fetus at ≥28 weeks gestation that shows no signs of life after complete birth |
| Gestational age | ≥ 28 weeks |
| Birth weight | ≥ 1000 g |
| Signs of life | None - no breathing, no heartbeat, no pulsation of umbilical cord, no voluntary muscle movement |
| Timing of death | Can be antepartum (before labour) or intrapartum (during labour) |
| Counted in | Perinatal mortality rate numerator; NOT in live birth count |
| Also called | Late foetal death, foetal death |
Stillbirth Rate = Number of stillbirths (≥28 weeks) / (Live births + Stillbirths) × 1000
| Term | Meaning |
|---|---|
| Still born | A fetus born dead after viability (≥28 weeks); product of conception that never showed signs of life after complete delivery |
| Dead born | Broader/registrar term - essentially the same as stillbirth; a baby born showing no signs of life. Used more in vital statistics and legal registration |
| Difference | "Dead born" is the registrar's/legal term; "stillbirth" is the epidemiological/clinical term. In practice, they mean the same thing - a baby born dead after the age of viability |
The WHO ICD-10 definition: "Death prior to complete expulsion or extraction from the mother of a product of conception, irrespective of the duration of pregnancy; death is indicated by the fact that after separation the fetus does not breathe or show any other evidence of life."
| Feature | Details |
|---|---|
| Definition | Complete expulsion/extraction of a product of conception from the mother, irrespective of gestational age, which shows any sign of life after separation |
| Signs of life | ANY of: breathing, heartbeat, pulsation of umbilical cord, definite movement of voluntary muscles |
| Legal (civil law) | Any sign of life after complete birth |
| Legal (criminal law) | Even if only part of the child is out and shows signs of life = livebirth (death = homicide) |
| Important | Even if born at 20 weeks and breathes once = live birth (and if it then dies = neonatal death, NOT stillbirth) |
| Feature | Abortion | Stillbirth / Dead Born | Live Birth |
|---|---|---|---|
| Gestational age | < 28 weeks | ≥ 28 weeks | Any age |
| Birth weight | < 1000 g | ≥ 1000 g | Any weight |
| Signs of life at birth | Pre-viable (N/A) | None | Present |
| Viability | Not reached | Reached but died | Reached and born alive |
| Included in perinatal stats | No | Yes (numerator) | Yes (denominator) |
| Included in stillbirth rate | No | Yes | No |
| Counted as birth? | No | Yes (for PMR denominator) | Yes |
Child women rationformula
The number of children aged 0-4 years per 1000 women of child-bearing age (15-44 or 15-49 years).
| Feature | Detail |
|---|---|
| Numerator | All children aged 0 to 4 years |
| Denominator | Women of reproductive age = 15-44 or 15-49 years |
| Multiplier | × 1000 |
| Type of measure | It is a ratio (not a rate) - numerator is NOT part of the denominator |
| Data source | Derived from census data |
Abortion ratio
| Feature | Abortion Rate | Abortion Ratio |
|---|---|---|
| Formula | Abortions / Women aged 15-44 × 1000 | Abortions / Live births × 1000 |
| Denominator | Women of child-bearing age (15-44 yrs) | Live births |
| Type | Rate (population-based) | Ratio (event-to-event comparison) |
| Measures | Risk of abortion in the female population | Abortions relative to completed pregnancies |
| Numerator part of denominator? | No (it is a ratio technically) | No |
Abortion Ratio = 200/800 × 1000 = 250 per 1000 live births
When does a frequency polygon become a frequency curve
frequency polygon becomes frequency curve when sample size large class interval narrow PSM statistics
1. The sample size becomes very large (n → ∞) 2. The class intervals become progressively smaller and smaller (width → 0)
Small sample + wide class intervals → Frequency Polygon (angular, jagged)
↓ increase n, narrow intervals ↓
Large sample + narrow class intervals → Frequency Curve (smooth, continuous)
| Feature | Frequency Polygon | Frequency Curve |
|---|---|---|
| Lines | Straight lines joining midpoints | Smooth continuous curve |
| Sample size | Small to moderate | Very large (theoretically infinite) |
| Class interval width | Wider | Very narrow (approaches zero) |
| Appearance | Angular / jagged | Smooth |
| Nature | Discrete representation | Continuous representation |
| Shape | Example |
|---|---|
| Normal (Bell-shaped / Gaussian) | Height, weight, BP in a population |
| Positively skewed | Income distribution, age at first marriage |
| Negatively skewed | Age at death in developed countries |
| Bimodal | Two peaks - suggests two sub-populations mixed |
| J-shaped / reverse J | Immunization coverage data |
A frequency polygon becomes a frequency curve when the sample size is infinitely large and the class intervals are infinitely small - the angular lines smooth into a continuous curve.
Ia spot map same as shaded map ?
spot map vs shaded map choropleth PSM epidemiology difference Park's
"Inner and outer city variations in disease frequency are best studied with the aid of 'spot maps' or 'shaded maps'. These maps show at a glance areas of high or low frequency, the boundaries and patterns of disease distribution."
- Park's Textbook of Preventive and Social Medicine, p. 79
| Feature | Spot Map | Shaded Map (Choropleth Map) |
|---|---|---|
| What is plotted | A dot/spot at the exact location of each case | Entire geographic areas/regions shaded by intensity |
| Unit of display | Individual case locations | Administrative areas (districts, states, countries) |
| What it shows | Clustering, scatter, point source | Gradient of disease frequency across regions |
| Data needed | Exact address/location of each case | Rate or frequency per area |
| Shading/color | No shading - uses dots/spots | Different shades/colors represent different rates |
| Best for | Outbreak investigation (local level) | Regional/national comparisons |
| Sensitivity to population density | Yes - dense areas appear heavily dotted even without high rates | Can be adjusted for population (uses rates) |
| Classic example | John Snow's cholera map, London 1854 | Malaria endemicity maps of India |

| Spot Map | Shaded Map | |
|---|---|---|
| Dots or shading? | Dots (one per case) | Shading (for whole regions) |
| Exact location? | Yes | No |
| Shows clustering? | Excellently | Broadly |
| Used in outbreaks? | Yes - primary tool | Less useful |
| Park's grouping | Used together as tools for "place distribution" study |
Exam one-liner: Spot map uses dots at exact case locations; shaded map uses color/shading gradients over areas. Both are used in place distribution analysis of disease in epidemiology, but they are NOT the same map type.
Kuppuswamy scale includes per capita income or total family income ??
Kuppuswamy scale per capita income or total family income components
TOTAL FAMILY INCOME per month - NOT per capita income.
"It should be noted that the income to be assessed is total family income (per month) and not the per capita income."
| Component | What is assessed | Max Score |
|---|---|---|
| (A) Education | of the head of family | 7 |
| (B) Occupation | of the head of family | 10 |
| (C) Income | Total monthly family income | 12 |
| Total | 29 |
| Class | Score |
|---|---|
| Upper (I) | 26-29 |
| Upper Middle (II) | 16-25 |
| Lower Middle (III) | 11-15 |
| Upper Lower (IV) | 5-10 |
| Lower (V) | < 5 |