Aquinnah town is in the Dukes County, MA and is assigned the FMR for that area. The 2000 Census Base Rent for Aquinnah town used by HUD is $928.
This rent is the 40th percentile recent mover rent for the county group defined below because the recent mover sample size for Dukes County, MA is too small.
Aquinnah town is in the FMR area Dukes County, MA. Dukes County, MA consists of:
DUKES COUNTY, MA TOWNS OF Aquinnah town, MA ; Chilmark town, MA ; Edgartown town, MA ; Gosnold town, MA ; Oak Bluffs town, MA ; Tisbury town, MA ; West Tisbury town, MA .
Aquinnah town has an insufficient 2000 Census sample of recent movers to compute its own recent mover rent. HUD requires a sample of at least 200 recent movers, but Aquinnah town has fewer than 200 units in the protected data sample. Therefore, Aquinnah town is assigned the recent mover rent for the combination of counties listed below, even though some members of the group may have a sufficient sample size for their own FMR or may be parts of metropolitan areas. Other FMR areas that use the same county group recent mover data are indicated by "*".
Members of the county group: Dukes County, MA*; Dukes County, MA*; Dukes County, MA*; Dukes County, MA*; Dukes County, MA*; Dukes County, MA*; Dukes County, MA*; Nantucket County, MA.
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.
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 Dukes County, MA 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 Dukes County, MA is $338.
The following table and calculations demonstrate how the 40th percentile Census 2000 recent mover rent is determined for Dukes County, MA using the public distribution of recent mover rents for the county group specified above.
| 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 | 8 | Not in Distribution | Not in Distribution |
| Units in interval containing public housing rent level of $338 |
$325 to $337 | 0.00 | Not in Distribution | Not in Distribution |
| $338 to $349 | 0.00 | 0.0% | 0.0% | |
| Units below interval containing 40th percentile recent mover rent of $941 |
$350 to $924 | 165 | 38.6% | 38.6% |
| Units in interval containing 40th percentile recent mover rent of $941 |
$925 to $949 | 10 | 2.3% | 40.9% |
| Units above interval containing 40th percentile recent mover rent of $941 |
$950 or more | 253 | 59.1% | 100.0% |
| Total units Above Public Housing Rent in Recent Mover Rent Distribution | 428.00 |
There were no recent mover 2-bedroom units in the rent interval containing the Public Housing Rent level of $338.
The 40th percentile recent mover rent for Dukes County, MA is computed by linear interpolation over the 10 units in the rent range $925 to $949. Linear interpolation uses the assupmtion that the 10 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 428.00 = 171.20
Units below the 40th percentile rent interval = 165.00 + 0.00 = 165.00
Units in 40th percentile rent interval needed to reach 40 percent of units = 171.20 - 165.00 = 6.20
Additional Units as Proportion of Interval = 6.20 / 10.00 = 0.62
Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.62 x $25 = $16
40th percentile recent mover rent = $925 + $16 = $941
The difference between the actual 2000 Census Recent Mover Rent of $928 and the demonstration 2000 Census Recent Mover Rent of $941 computed here is due to the effects of rounding on the public distribution as described above.
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 Dukes County, MA 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 | 4 | Not in Distribution | Not in Distribution |
| Units in interval containing public housing rent level of $338 |
$325 to $337 | 0.00 | Not in Distribution | Not in Distribution |
| $338 to $349 | 0.00 | 0.0% | 0.0% | |
| Units below interval containing 40th percentile standard quality rent of $729 |
$350 to $724 | 204 | 39.2% | 39.2% |
| Units in interval containing 40th percentile standard quality rent of $729 |
$725 to $749 | 25 | 4.8% | 44.0% |
| Units above interval containing 40th percentile standard quality rent of $729 |
$750 or more | 291 | 56.0% | 100.0% |
| Total Units Above Public Housing Rent in Standard Quality Rent Distribution | 520.00 |
There were no standard quality 2-bedroom units in the rent interval containing the Public Housing Rent level of $338.
The 40th percentile standard quality rent for Dukes County, MA is computed by linear interpolation over the 25 units in the rent range $725 to $749. Linear interpolation uses the assupmtion that the 25 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 520.00 = 208.00
Units below the 40th percentile rent interval = 204.00 + 0.00 = 204.00
Units in 40th percentile rent interval needed to reach 40 percent of units = 208.00 - 204 = 4.00
Additional Units as Proportion of Interval = 4.00 / 25 = 0.16
Dollars Added to Lower Limit of Interval to reach 40th percentile rent = 0.16 x $25 = $4
40th percentile standard quality rent = $725 + $4 = $729
The difference between the actual 2000 Census Standard Quality Rent of $857 and the demonstration 2000 Census Standard Quality Rent of $729 computed here is due to the effects of rounding on the public distribution as described above.
Since the standard quality rent of $857 is not higher than the recent mover rent of $928, the recent mover rent of $928 is the 2000 Census Base Rent for Dukes County, MA.
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