Census Base Rent Calculation for
Dorset town

Dorset town is in the Bennington County, VT and is assigned the FMR for that area. The 2000 Census Base Rent for Dorset town used by HUD is $569.

This rent is the 40th percentile recent mover rent for Bennington County, VT.


FMR Area Geography

Dorset town is in the FMR area Bennington County, VT. Bennington County, VT consists of:

BENNINGTON COUNTY, VT TOWNS OF Arlington town, VT ; Bennington town, VT ; Dorset town, VT ; Glastenbury town, VT ; Landgrove town, VT ; Manchester town, VT ; Peru town, VT ; Pownal town, VT ; Readsboro town, VT ; Rupert town, VT ; Sandgate town, VT ; Searsburg town, VT ; Shaftsbury town, VT ; Stamford town, VT ; Sunderland town, VT ; Winhall town, VT ; Woodford town, VT .


User Note

In computing 2000 Census Base Rents, HUD actually uses data on rent distributions that are prohibited from public release under Title XIII to protect the confidentiality of respondents. The distributions used in this demonstration are rounded versions of the actual, protected data.

The rounding scheme is as follows:

0, count = 0
1 to 7, count = 4
all other counts are rounded to the nearest 5 (e.g., 10, 15, 20, 25, etc.)

CALCULATIONS USING THE ROUNDED DATA MAY NOT PRODUCE THE SAME RESULT AS CALCULATIONS USING THE PROTECTED DATA. THE DIFFERENCE BETWEEN HUD'S ACTUAL RESULTS AND THOSE DEMONSTRATED HERE IS INVERSELY RELATED TO THE SIZE OF THE FMR AREA. THAT IS, THE LARGER THE AREA, THE CLOSER THE CALCULATION BASED ON THE ROUNDED DATA IS LIKELY TO BE TO THE CENSUS BASE RENT COMPUTED FROM THE PROTECTED DATA.


Recent Mover and Standard Quality Rents

HUD uses rents for recent movers in standard quality units to set the 2000 Census Base Rent. "Standard Quality" units and rents are determined by limiting the full Census sample by including only responses meeting the following criteria:

a. Occupied rental units paying cash rent
b. Specified renter ? on 10 acres or less
c. with full plumbing
d. with full kitchen
e. built before 1999
f. meals not included in rent

"Recent Mover" rents are determined by further limiting the "Standard Quality" sample with the following additional criterion:

g. moved in within the last two years

A Microsoft Excel file containing the unsummarized versions of the publicly releasable recent mover and standard quality 2-bedroom rent distributions for Bennington County, VT is available here.

The 2000 Census did not include a question that could be used to filter public or assisted housing from the rental distributions, however HUD is required to ensure that FMRs exclude non-market rental housing in their computation. Therefore, HUD excludes all units falling below a specified rent level determined from public housing rents in HUD's program databases as likely to be either assisted housing or otherwise at a below-market rent (perhaps due to quality problems not otherwise captured by the Census questions). The "public housing" rent cut-off in Bennington County, VT is $338.


40th Percentile Recent Mover Rent

The following table and calculations demonstrate how the 40th percentile Census 2000 recent mover rent is determined for Bennington County, VT using the public distribution of recent mover rents for the FMR area.

Portion of Recent Mover Rent Distribution Gross Rent Dollar Range Number of Units Percent of Eligible Distribution Cumulative Percent
Units below interval containing
public housing rent level of $338
$1 to $324 33 Not in Distribution Not in Distribution
Units in interval containing
public housing rent level of $338
$325 to $337 5.20 Not in Distribution Not in Distribution
$338 to $349 4.80 1.1% 1.1%
Units below interval containing
40th percentile recent mover rent of $569
$350 to $549 128 28.1% 29.1%
Units in interval containing
40th percentile recent mover rent of $569
$550 to $574 65 14.3% 43.4%
Units above interval containing
40th percentile recent mover rent of $569
$575 or more 258 56.6% 100.0%
Total units Above Public Housing Rent in Recent Mover Rent Distribution   455.80    

The numbers of units with recent mover rents above and below the Public Housing Rent level of $338 are determined using linear interpolation over the 10 units in the rent range $325 to $349. Linear interpolation uses the assupmtion that the 10 units' rents are uniformly distributed in the rent range around the Public Housing Rent level. Under this assumption, the proportion of the rent interval ($25) that is below the Public Housing Rent level is the same as the proportion of units with rents in the interval (10) that have rents below the Public Housing Rent level.

Proportion of rent interval below the Public Housing Rent Level: ($338 - $325) / $25 = 0.5200

Units in the Public Housing Rent Level Interval below the Public Housing Rent Level: 0.5200 x 10 = 5.20

The 40th percentile recent mover rent for Bennington County, VT is computed by linear interpolation over the 65 units in the rent range $550 to $574. Linear interpolation uses the assupmtion that the 65 units' rents are uniformly distributed in the rent range around the 40th percentile. Under this assumption, the proportion of the rent interval ($25) that needs to be added to the lower limit of the interval to reach the 40th percentile rent is the same as the proportion of units in the interval that needs to be added to the units in lower rent intervals to reach 40 percent of units in the distribution.

40 percent of units = 0.4 x 455.80 = 182.32

Units below the 40th percentile rent interval = 128.00 + 4.80 = 132.80

Units in 40th percentile rent interval needed to reach 40 percent of units = 182.32 - 132.80 = 49.52

Additional Units as Proportion of Interval = 49.52 / 65.00 = 0.7618

Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.7618 x $25 = $19

40th percentile recent mover rent = $550 + $19 = $569


40th Percentile Standard Quality Rent

Before using the recent mover rent as the Census 2000 Base Rent, HUD checks the standard quality rent for the area to ensure that the recent mover rent is high enough to reach the 40th percentile standard quality unit. The recent mover rent may be below the standard quality rent in areas where rental housing markets are particularly stressed such that recent mover rents will not cover the expenses of operating standard quality units.

The following table and calculations demonstrate how the 40th percentile Census 2000 standard quality rent is determined for Bennington County, VT using the public distribution of standard quality rents for the FMR area.

Portion of Standard Quality Rent Distribution Gross Rent Dollar Range Number of Units Percent of Eligible Distribution Cumulative Percent
Units below interval containing
public housing rent level of $338
$1 to $324 129 Not in Distribution Not in Distribution
Units in interval containing
public housing rent level of $338
$325 to $337 13.00 Not in Distribution Not in Distribution
$338 to $349 12.00 1.0% 1.0%
Units below interval containing
40th percentile standard quality rent of $565
$350 to $549 390 33.2% 34.2%
Units in interval containing
40th percentile standard quality rent of $565
$550 to $574 115 9.8% 44.0%
Units above interval containing
40th percentile standard quality rent of $565
$575 or more 657 56.0% 100.0%
Total Units Above Public Housing Rent in Standard Quality Rent Distribution   1,174.00    

The numbers of units with standard quality rents above and below the Public Housing Rent level of $338 are determined using linear interpolation over the 25 units in the rent range $325 to $349. Linear interpolation uses the assupmtion that the 25 units' rents are uniformly distributed in the rent range around the Public Housing Rent level. Under this assumption, the proportion of the rent interval ($25) that is below the Public Housing Rent level is the same as the proportion of units with rents in the interval (25) that have rents below the Public Housing Rent level.

Proportion of rent interval below the Public Housing Rent Level: ($338 - $325) / $25 = 0.5200

Units in the Public Housing Rent Level Interval below the Public Housing Rent Level: 0.5200 x 25 = 13.00

The 40th percentile standard quality rent for Bennington County, VT is computed by linear interpolation over the 115 units in the rent range $550 to $574. Linear interpolation uses the assupmtion that the 115 units' rents are uniformly distributed in the rent range around the 40th percentile. Under this assumption, the proportion of the rent interval ($25) that needs to be added to the lower limit of the interval to reach the 40th percentile rent is the same as the proportion of units in the interval that needs to be added to the units in lower rent intervals to reach 40 percent of units in the distribution.

40 percent of units = 0.4 x 1,174.00 = 469.60

Units below the 40th percentile rent interval = 390.00 + 12.00 = 402.00

Units in 40th percentile rent interval needed to reach 40 percent of units = 469.60 - 402 = 67.60

Additional Units as Proportion of Interval = 67.60 / 115 = 0.5878

Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.5878 x $25 = $15

40th percentile standard quality rent = $550 + $15 = $565

Since the standard quality rent of $565 is not higher than the recent mover rent of $569, the recent mover rent of $569 is the 2000 Census Base Rent for Bennington County, VT.



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