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India - state map

Shades India by state or union territory. Spellings that differ across sources - Orissa and Odisha, Pondicherry and Puducherry, NCT of Delhi, UP, MP, TN - all match. Drawn on an equal-area projection, so a large state is large because it is large.

What it needs

The intuition

A state map has every hazard of the world map and one more that bites harder: at a sub-national scale the regions are units of administration rather than units of anything the data is about. State boundaries were not drawn to make statistics comparable, so a state-level average can be an average of two completely different places, and the colour hides that.

When to use it

Any state-level Indian data: GSDP, per-capita income, literacy, unemployment, power consumption, fiscal deficit, poll results. Also the natural first look before a state panel regression, because it shows you whether the variation is north-south, coastal-inland, or neither.

Where the estimator comes from

The estimate shown for state s is an aggregate over its constituent units, \bar{v}_s=\sum_{i\in s}w_iv_i/\sum_{i\in s}w_i. The MODIFIABLE AREAL UNIT PROBLEM is that \bar{v}_s depends on where the boundaries fall, and redrawing them changes the map and can change the sign of any relationship computed from it. Gerrymandering is the deliberate exploitation of exactly this arithmetic. It is not a defect of the chart - the aggregation is real - but the map presents one particular partition as though it were the only one.

What it assumes

Statistical properties

How to read the output

A worked reading

A state map showing literacy against income, both averaged to the state, can produce a strong positive relationship while the individual-level relationship within every state is flat or negative. Robinson found precisely this in 1950: the correlation between illiteracy and being foreign-born was +0.53 across US states and -0.11 across individuals. The state map is not wrong - those really are the state averages - but the conclusion nearly every reader draws from it is.

Symptom → diagnosis → what to do

If you see thisIt meansDo this
A striking regional patternCheck the sample size per stateSparse states produce extreme values by noise
Conclusions about individualsEcological fallacyAreal averages do not license individual claims
A state missing entirelyBoundary vintage mismatchAlign the geometry to the data year
Results changing when districts are usedThe modifiable areal unit problemReal, not an error. Report both scales
Unweighted state averagesA small state counts as much as a large oneWeight by population
Adjacent states looking alikeSpatial autocorrelationTest it before modelling

Common mistakes

Where to read this properly

See also

Spatial autocorrelation, for whether neighbours resemble each other. Aggregate, for the same hazard without the geography.

Related Maps

World map · Bivariate map · Flow map · India - district map

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