Towards Standards in Mapping ACS Data. Joel A. Alvarez & Joseph J. Salvo NYC Department of City Planning Population Division

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Towards Standards in Mapping ACS Data March 8, 2018 Joel A. Alvarez & Joseph J. Salvo NYC Department of City Planning Population Division

Dec. 30 th 2010

Important Note: The values for counties shown in different classes may not be statistically different. A statistical test is needed to make such a determination.

Because these figures are based on samples, they are subject to a margin of error, particularly in places with a low population, and are best regarded as estimates.

Because these figures are based on samples, they are subject to a margin of error, particularly in places with a low population, and are best regarded as estimates.

Overview 1) Acknowledge we have a problem 2) Standardized measure of map reliability and threshold for general use 3) Evaluation of map reliability of ACS estimates 4) Demonstrate Map Reliability Calculator

The Problem: Unreliable ACS Maps

Percent Unemployed New York City Census Tracts, 2010-2014 ACS Percent Unemployed 9.0 or more 6.8 to 8.9 5.2 to 6.7 3.9 to 5.1 Under 3.9

Calculating Map Reliability and Delineating an Acceptable Threshold

Calculating Map Uncertainty Example Mapping Unemployment Lower Limit (500 Unemployed) Category (500 to 1,000) Upper Limit (1,000 Unemployed) MOE (+/-50) Estimate #1 550 Unemployed

Calculating Map Uncertainty Example Mapping Unemployment Lower Limit (500 Unemployed) Category (500 to 1,000) Upper Limit (1,000 Unemployed) 90% Confidence Interval Estimate #1 550 Unemployed

Calculating Map Uncertainty Example Mapping Unemployment Lower Limit (500 Unemployed) Category (500 to 1,000) Upper Limit (1,000 Unemployed) 5% Chance of Error 90% Confidence Interval Estimate #1 550 Unemployed

Calculating Map Uncertainty Example Mapping Unemployment Lower Limit (500 Unemployed) 5% Chance of Error Category (500 to 1,000) Upper Limit (1,000 Unemployed) 40% Chance of Error Estimate #1 550 Unemployed Estimate #2 750 Unemployed 15% chance one of the estimates is erroneously classed Estimate #3 995 Unemployed

Calculating Map Uncertainty Example Mapping Unemployment 0 500 1,000 1,500 Category #2 (500 to 1,000) #1 #2 #3 15% chance of error n=3

Calculating Map Uncertainty Example Mapping Unemployment 0 500 1,000 1,500 Category #1 (0 to 500) Category #3 (1,000 to 1,500) 20% chance of error n=2 3% chance of error n=5

Calculating Map Uncertainty Example Mapping Unemployment 10% overall chance of error n=10 0 500 1,000 1,500 Category #1 Category #2 Category #3 20% chance of error 15% chance of error 3% chance of error n=2 n=3 n=5

Calculating Map Uncertainty Example Mapping Unemployment Max acceptable map error 10% overall chance of error 0 500 1,000 1,500 Category #1 Category #2 Category #3 20% chance of error 15% chance of error 3% chance of error Max acceptable error for any one class

Evaluation of Cross-section of ACS Estimates

Social Housing Demographic Economic Assessment of Map Reliability for Selected ACS Estimates Population 85 years and over Median Age Females 65 and over Asian nonhispanic Chinese, excluding Taiwanese Asian Indian Bangladeshi Southeast Asian Single female head, own children under 18 65 and over living alone Less than high school diploma Population with ambulatory difficulty Born in New York State Born in Haiti Foreign-born non-citizen Speaks Spanish, limited English Proficiency Unemployed Mean travel time to work Workers in professional occupations Workers self employed Household income $200,000 or more Median household income Population 65 and over below poverty No health insurance coverage Vacant housing units Rental vacancy rate Median number of rooms No vehicles available 1.51 or more occupants per room Owner costs 35% or more of income Rent 35% or more of income Rent 50% or more of income

Dimensions of Analysis 1) 59 ACS counts, percents, means, medians, and rates 2) 3 map classification schemes (up to 7 classes) Natural Breaks Equal Interval Quantile 3) 3 geographic summary levels Census Tracts Neighborhood Tabulation Areas (NTAs) PUMAs

Percent of All Evaluated Variables Natural Breaks Mapability of Variables for New York City Census Tracts Number of Classes that can be Reliably Mapped 100 Census Tracts 90 80 70 60 50 40 30 20 10 0 Can't be 1 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Mapability of Variables for New York City Census Tracts Number of Classes that can be Reliably Mapped 100 Census Tracts 90 80 70 60 50 40 30 20 10 0 Can't be 1 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Quantile Mapability of Variables for New York City Census Tracts Number of Classes that can be Reliably Mapped 100 Census Tracts 90 80 70 60 50 40 30 20 10 0 Can't be 1 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Mapability of Variables for New York City NTAs Number of Classes that can be Reliably Mapped 100 Neighborhood Tabulation Areas (NTAs) 90 80 70 60 50 40 30 20 10 0 Can't be 01 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Quantile Mapability of Variables for New York City NTAs Number of Classes that can be Reliably Mapped 100 Neighborhood Tabulation Areas (NTAs) 90 80 70 60 50 40 30 20 10 0 Can't be 01 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Mapability of Variables for New York City PUMAs Number of Classes that can be Reliably Mapped 100 PUMAs 90 80 70 60 50 40 30 20 10 0 Can't 0 be 1 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Percent of All Evaluated Variables Natural Breaks Equal Interval Quantile Mapability of Variables for New York City PUMAs Number of Classes that can be Reliably Mapped 100 PUMAs 90 80 70 60 50 40 30 20 10 0 Can't 0 be 1 2 3 4 5 6 7 Reliably Mapped Number of Classes that can be Reliably Mapped

Takeaway from Evaluation 1) Try to avoid mapping at a census tract level and exercise extreme caution if you do 2) Avoid using a quantile mapping scheme 3) NTAs and PUMAs are much more reliable than tracts, but still need to evaluate reliability 4) Reliability of maps not just about magnitude of error in ACS data also about the characteristics of estimate/error distributions

Demonstration of Map Reliability Calculator

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo Employed Population by Census Tract New York City, 2011-2015* Bronx Employed Population 5,000 or more 2,500 to 4,999 Queens Manhattan 1,000 to 2,499 Under 1,000 Brooklyn Staten Island * 5-year period estimate

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo

Map Reliability Calculator Demo Unemployed Population by Neighborhood Tabulation Area (NTA) New York City, 2011-2015* Bronx Unemployed Population 5,000 or more 2,500 to 4,999 Queens Manhattan 1,000 to 2,499 Under 1,000 Brooklyn Staten Island * 5-year period estimate

Map Reliability Calculator Demo Change in Employed Population by Neighborhood Tabulation Area (NTA) New York City, 2006-2010 to 2011-2015* Bronx Change in Employed Population Gain of 2,000 or more No change or loss Queens Manhattan Brooklyn Staten Island * Change between two 5-year period estimates

Map Reliability Calculator Link to Map Reliability Calculator: http://www1.nyc.gov/assets/planning/download/office/datamaps/nyc-population/map_reliability_calculator.xlsx?r=1 Location on NYC Department of City Planning website: 1 2 3

Map Reliability Calculator Update to ACS Compass series Includes case study on uncertainty in mapping ACS data Old Version