MARKET STUDY All analysis covers resale homes only. New construction appears once, in its own section. Click any dot on the map for that sale.
Resale sales, 365 days
20
single-family resale homes
Median net sale price
$637,000
average $624,546
Median net price per SF
$224
average $222
Median days on market
50 days
average 82 days
1. SummaryResale homes · 20 sales · November 5, 2025 – November 4, 2026
This study looks at the 20 resale homes sold in Arrowhead Ranch in the 365 days to November 4, 2026. A full year is used because only 8 resale homes sold in the last 180 days. New construction is left out and shown on its own in section 7. The homes are compared four ways: by price, by living area, by year built and with or without a view. The first three are split into four equal groups (quartiles), each named by its range.
Each comparison has its own section (3–6) with everything about it in one place: the key differences, a table of every measure at a glance, the charts and the numbers.
2. Where the resale homes sold20 resale homes · colored by price range
Each dot is one resale home, colored by its price range. Use the buttons to show one price range at a time. Click a dot for that sale: address, close date, original and last list price, net sale price, living area, net sale per SF and days on market. Scroll or pinch to zoom.
3. Quartiles by net sale priceResale homes · 20 sales · November 5, 2025 – November 4, 2026
Sales ranked by net sale price and cut into four equal groups. This is the usual way to read a market by price.
Bottom line: too few sales to test.
3.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
How to read this section. Each heading gives the finding. The gold box says whether the gap is real (✓, with its size) or could be chance (–). The section ends with its numbers; the tests are in section 8.3.
3.3 Net price per SF: described, not tested
The average is $238 per SF for homes over $660K and $237 per SF for homes under $571K. It does not move in a straight line; homes over $660K are highest. Defined in 8.1.2.
Not tested: too few sales.
3.4 Living area: described, not tested
The average is 3,029 SF for homes over $660K and 2,176 SF for homes under $571K. It does not move in a straight line; homes $644K–$660K are highest. Defined in 8.1.3.
Not tested: too few sales.
3.5 Year built: described, not tested
The median is 2022 for homes over $660K and 2020 for homes under $571K. It does not move in a straight line; homes over $660K are highest. Defined in 8.1.4.
Not tested: too few sales.
3.6 Days on market: described, not tested
The median is 103 days for homes over $660K and 68 days for homes under $571K. It does not move in a straight line; homes over $660K are highest. Defined in 8.1.5.
Not tested: too few sales.
3.7 Discount from original list: described, not tested
The average is 5.9% for homes over $660K and 8.9% for homes under $571K. It does not move in a straight line; homes under $571K are highest. Defined in 8.1.6.
Not tested: too few sales.
3.8 How often: price cut before sale, seller paid closing costs or repairs, has a view
Each bar is the share of homes in the group, in percent.
60% of homes over $660K had a price cut before sale, against 75% of homes under $571K. Defined in 8.1.7.
60% of homes over $660K had the seller pay closing costs or repairs, against 75% of homes under $571K. Defined in 8.1.8.
80% of homes over $660K have a view, against 50% of homes under $571K. Defined in 8.1.9.
Price cut before sale: Not tested: too few sales.
Seller paid closing costs or repairs: Not tested: too few sales.
Has a view: Not tested: too few sales.
3.9 The numbers: price and size
Under $571K4 sales
$571K–$630K6 sales
$644K–$660K5 sales
Over $660K5 sales
All20 sales
Net sale price average
$514,000
$596,792
$652,400
$718,436
$624,546
Net price per SF average
$237
$214
$204
$238
$222
Living area average
2,176
2,794
3,246
3,029
2,842
Year built median
2020
2020
2018
2022
2020
3.10 The numbers: selling
Under $571K4 sales
$571K–$630K6 sales
$644K–$660K5 sales
Over $660K5 sales
All20 sales
Days on market median
68
57
25
103
50
Discount from original list average
8.9%
4.3%
4.4%
5.9%
5.7%
Price cut before sale
75%
50%
40%
60%
55%
Seller paid closing costs or repairs
75%
67%
20%
60%
55%
Has a view
50%
50%
80%
80%
65%
Prices, price per SF, living area and discount are averages; days on market and year built are medians. The test behind each verdict is in 8.3.1.
4. Quartiles by living areaResale homes · 20 sales · November 5, 2025 – November 4, 2026
Sales ranked by living area and cut into four equal groups, from the smallest homes to the largest.
Bottom line: no measure differs enough between the groups to rule out chance.
4.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
4.2 At a glance
Shaded rows are real differences; the darkest cell is the highest. Gray rows show no clear difference. Prices are averages; days on market and year built are medians.
Under 2,735 SF
2,735–2,788 SF
2,789–3,131 SF
Over 3,131 SF
Real difference?
Net sale price
$525K
$637K
$643K
$692K
unclear
Net price per SF
$234 per SF
$231 per SF
$223 per SF
$201 per SF
unclear
Year built
2020
2022
2020
2017
unclear
Days on market
56 days
58 days
31 days
19 days
unclear
Discount from original list
7.8%
4.2%
5.3%
5.4%
unclear
Price cut before sale
80%
60%
40%
40%
unclear
Seller paid closing costs or repairs
60%
60%
60%
40%
unclear
Has a view
60%
60%
60%
80%
unclear
4.3 Net sale price: no clear difference
The average is $692K for homes over 3,131 SF and $525K for homes under 2,735 SF. It rises step by step from the lowest range to the highest. Defined in 8.1.1.
– No clear difference · could be chance
4.4 Net price per SF: no clear difference
The average is $201 per SF for homes over 3,131 SF and $234 per SF for homes under 2,735 SF. It falls step by step from the lowest range to the highest. Defined in 8.1.2.
– No clear difference · could be chance
4.5 Year built: no clear difference
The median is 2017 for homes over 3,131 SF and 2020 for homes under 2,735 SF. It does not move in a straight line; homes 2,735–2,788 SF are highest. Defined in 8.1.4.
– No clear difference · could be chance
4.6 Days on market: no clear difference
The median is 19 days for homes over 3,131 SF and 56 days for homes under 2,735 SF. It does not move in a straight line; homes 2,735–2,788 SF are highest. Defined in 8.1.5.
– No clear difference · could be chance
4.7 Discount from original list: no clear difference
The average is 5.4% for homes over 3,131 SF and 7.8% for homes under 2,735 SF. It does not move in a straight line; homes under 2,735 SF are highest. Defined in 8.1.6.
– No clear difference · could be chance
4.8 How often: price cut before sale, seller paid closing costs or repairs, has a view
Each bar is the share of homes in the group, in percent.
40% of homes over 3,131 SF had a price cut before sale, against 80% of homes under 2,735 SF. Defined in 8.1.7.
40% of homes over 3,131 SF had the seller pay closing costs or repairs, against 60% of homes under 2,735 SF. Defined in 8.1.8.
80% of homes over 3,131 SF have a view, against 60% of homes under 2,735 SF. Defined in 8.1.9.
Price cut before sale: – No clear difference · could be chance
Seller paid closing costs or repairs: – No clear difference · could be chance
Has a view: – No clear difference · could be chance
4.9 The numbers: price and size
Under 2,735 SF5 sales
2,735–2,788 SF5 sales
2,789–3,131 SF5 sales
Over 3,131 SF5 sales
All20 sales
Real difference?
Net sale price average
$525,400
$637,450
$642,936
$692,400
$624,546
unclear
Net price per SF average
$234
$231
$223
$201
$222
unclear
Living area average
2,253
2,755
2,895
3,465
2,842
by design
Year built median
2020
2022
2020
2017
2020
unclear
4.10 The numbers: selling
Under 2,735 SF5 sales
2,735–2,788 SF5 sales
2,789–3,131 SF5 sales
Over 3,131 SF5 sales
All20 sales
Real difference?
Days on market median
56
58
31
19
50
unclear
Discount from original list average
7.8%
4.2%
5.3%
5.4%
5.7%
unclear
Price cut before sale
80%
60%
40%
40%
55%
unclear
Seller paid closing costs or repairs
60%
60%
60%
40%
55%
unclear
Has a view
60%
60%
60%
80%
65%
unclear
Prices, price per SF, living area and discount are averages; days on market and year built are medians. The test behind each verdict is in 8.3.2.
5. Groups by year builtResale homes · 20 sales · November 5, 2025 – November 4, 2026
Sales ranked by year built and cut into four groups, from the oldest to the newest. Homes built in the same year always stay in the same group, so group sizes can differ a little. Only 3 groups are shown: homes here share a few year built values, and no group may hold fewer than 3 sales.
Bottom line: no measure differs enough between the groups to rule out chance.
5.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
5.2 At a glance
Shaded rows are real differences; the darkest cell is the highest. Gray rows show no clear difference. Prices are averages; days on market and year built are medians.
Before 2018
2018–2021
After 2021
Real difference?
Net sale price
$637K
$571K
$677K
unclear
Net price per SF
$193 per SF
$228 per SF
$236 per SF
unclear
Living area
3,327 SF
2,522 SF
2,862 SF
unclear
Days on market
31 days
50 days
58 days
unclear
Discount from original list
6.2%
6.2%
4.7%
unclear
Price cut before sale
40%
62%
57%
unclear
Seller paid closing costs or repairs
80%
38%
57%
unclear
Has a view
60%
62%
71%
unclear
5.3 Net sale price: no clear difference
The average is $677K for homes built after 2021 and $637K for homes built before 2018. It does not move in a straight line; homes built after 2021 are highest. Defined in 8.1.1.
– No clear difference · could be chance
5.4 Net price per SF: no clear difference
The average is $236 per SF for homes built after 2021 and $193 per SF for homes built before 2018. It rises step by step from the lowest range to the highest. Defined in 8.1.2.
– No clear difference · could be chance
5.5 Living area: no clear difference
The average is 2,862 SF for homes built after 2021 and 3,327 SF for homes built before 2018. It does not move in a straight line; homes built before 2018 are highest. Defined in 8.1.3.
– No clear difference · could be chance
5.6 Days on market: no clear difference
The median is 58 days for homes built after 2021 and 31 days for homes built before 2018. It rises step by step from the lowest range to the highest. Defined in 8.1.5.
– No clear difference · could be chance
5.7 Discount from original list: no clear difference
The average is 4.7% for homes built after 2021 and 6.2% for homes built before 2018. It does not move in a straight line; homes built 2018–2021 are highest. Defined in 8.1.6.
– No clear difference · could be chance
5.8 How often: price cut before sale, seller paid closing costs or repairs, has a view
Each bar is the share of homes in the group, in percent.
57% of homes built after 2021 had a price cut before sale, against 40% of homes built before 2018. Defined in 8.1.7.
57% of homes built after 2021 had the seller pay closing costs or repairs, against 80% of homes built before 2018. Defined in 8.1.8.
71% of homes built after 2021 have a view, against 60% of homes built before 2018. Defined in 8.1.9.
Price cut before sale: – No clear difference · could be chance
Seller paid closing costs or repairs: – No clear difference · could be chance
Has a view: – No clear difference · could be chance
5.9 The numbers: price and size
Before 20185 sales
2018–20218 sales
After 20217 sales
All20 sales
Real difference?
Net sale price average
$636,550
$570,875
$677,311
$624,546
unclear
Net price per SF average
$193
$228
$236
$222
unclear
Living area average
3,327
2,522
2,862
2,842
unclear
Year built median
2017
2020
2022
2020
by design
5.10 The numbers: selling
Before 20185 sales
2018–20218 sales
After 20217 sales
All20 sales
Real difference?
Days on market median
31
50
58
50
unclear
Discount from original list average
6.2%
6.2%
4.7%
5.7%
unclear
Price cut before sale
40%
62%
57%
55%
unclear
Seller paid closing costs or repairs
80%
38%
57%
55%
unclear
Has a view
60%
62%
71%
65%
unclear
Prices, price per SF, living area and discount are averages; days on market and year built are medians. The test behind each verdict is in 8.3.3.
6. View and no viewResale homes · 20 sales · November 5, 2025 – November 4, 2026
Sales where the MLS lists a view (greenbelt or park, trees, golf course, hill country, water and similar) against those listing none or only the neighborhood. 1 sales whose MLS view entry is only “See Remarks” are left out.
Bottom line: no measure differs enough between the groups to rule out chance.
6.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
6.2 At a glance
Shaded rows are real differences; the darkest cell is the highest. Gray rows show no clear difference. Prices are averages; days on market and year built are medians.
View
No view
Real difference?
Net sale price
$644K
$575K
unclear
Net price per SF
$224 per SF
$214 per SF
unclear
Living area
2,891 SF
2,753 SF
unclear
Year built
2020
2020
unclear
Days on market
31 days
139 days
unclear
Discount from original list
4.3%
8.4%
unclear
Price cut before sale
46%
67%
unclear
Seller paid closing costs or repairs
54%
67%
unclear
6.3 Net sale price: no clear difference
The average is $644K for homes with a view and $575K for homes without a view. Defined in 8.1.1.
– No clear difference · could be chance
6.4 Net price per SF: no clear difference
The average is $224 per SF for homes with a view and $214 per SF for homes without a view. Defined in 8.1.2.
– No clear difference · could be chance
6.5 Living area: no clear difference
The average is 2,891 SF for homes with a view and 2,753 SF for homes without a view. Defined in 8.1.3.
– No clear difference · could be chance
6.6 Year built: no clear difference
The median is 2020 for homes with a view and 2020 for homes without a view. Defined in 8.1.4.
– No clear difference · could be chance
6.7 Days on market: no clear difference
The median is 31 days for homes with a view and 139 days for homes without a view. Defined in 8.1.5.
– No clear difference · could be chance
6.8 Discount from original list: no clear difference
The average is 4.3% for homes with a view and 8.4% for homes without a view. Defined in 8.1.6.
– No clear difference · could be chance
6.9 How often: price cut before sale, seller paid closing costs or repairs
Each bar is the share of homes in the group, in percent.
46% of homes with a view had a price cut before sale, against 67% of homes without a view. Defined in 8.1.7.
54% of homes with a view had the seller pay closing costs or repairs, against 67% of homes without a view. Defined in 8.1.8.
Price cut before sale: – No clear difference · could be chance
Seller paid closing costs or repairs: – No clear difference · could be chance
6.10 The numbers: price and size
View13 sales
No view6 sales
All19 sales
Real difference?
Net sale price average
$644,164
$575,300
$622,417
unclear
Net price per SF average
$224
$214
$221
unclear
Living area average
2,891
2,753
2,848
unclear
Year built median
2020
2020
2020
unclear
6.11 The numbers: selling
View13 sales
No view6 sales
All19 sales
Real difference?
Days on market median
31
139
45
unclear
Discount from original list average
4.3%
8.4%
5.6%
unclear
Price cut before sale
46%
67%
53%
unclear
Seller paid closing costs or repairs
54%
67%
58%
unclear
Prices, price per SF, living area and discount are averages; days on market and year built are medians. The test behind each verdict is in 8.3.4.
7. New constructionBasic statistics · 0 sales · November 5, 2025 – November 4, 2026
Homes sold new by the builder in the same 365 days. They are left out of every other section and shown here as basic figures only: 0 sales, no groups, no tests.
Note: these are only the new-construction sales reported in ABOR MLS. Builders often sell homes without listing them in the MLS, so these figures do not necessarily represent all new-construction sales in Arrowhead Ranch.
No new-construction sales were reported in ABOR MLS in this window.
Same definitions as the rest of the study (section 8). New construction = NewConstructionYN true, or PropertyCondition “New Construction” or “Under Construction”.
8. AppendixMeasures, methods and tests
Each measure and method three ways: in plain words, as statistics, and with the data from this study.
8.1 Measures
8.1.1 Net sale price
In simple terms
What the seller actually kept: the closing price, less money the seller gave back to the buyer for closing costs or repairs. It is the truest price for comparing homes.
Statistically
Net = ClosePrice − ACTRIS_BuyersClsgCostPdbySell − ACTRIS_RepairsAmount (a blank counts as $0). Summarized by the arithmetic mean in the slices.
The data
20 resale sales. Average $624,546; median $637,000; standard deviation $82,163; middle half (25th–75th percentile) $571,000–$661,250; lowest $473,700, highest $830,000. 11 sales had a seller payment; their median payment was $2,200.
8.1.2 Net price per SF
In simple terms
Net sale price divided by the heated and cooled square feet. It puts homes of different sizes on the same footing: did buyers pay more for each square foot, not just for more square feet?
Statistically
psf = Net ÷ LivingArea, per sale; summarized by the mean of the per-sale ratios.
The data
20 resale sales. Average $222; median $224; standard deviation $24; middle half (25th–75th percentile) $206–$239; lowest $175, highest $256.
8.1.3 Living area
In simple terms
The heated and cooled space, as listed in the MLS. Garages and porches are not counted.
Statistically
RESO LivingArea, in square feet. Sales under 400 SF are treated as entry errors and left out.
The data
20 resale sales. Average 2,842; median 2,788; standard deviation 473; middle half (25th–75th percentile) 2,691–3,167; lowest 1,866, highest 3,689.
8.1.4 Year built
In simple terms
The year the home was finished, as listed in the MLS. It shows whether a group leans to older or newer phases of the community.
Statistically
RESO YearBuilt; summarized by the median, with the 25th–75th percentile (middle half) on the charts.
The data
20 resale sales. Average 2020; median 2020; standard deviation 2; middle half (25th–75th percentile) 2018–2022; lowest 2016, highest 2022.
8.1.5 Days on market
In simple terms
How many days the home was on the market before the buyer's offer was accepted, counting any earlier listing periods (relists). This is the days on market agents and clients quote.
Statistically
CDOM = max(CumulativeDaysOnMarket, DaysOnMarket, PurchaseContractDate − ListingContractDate). The MLS counter can freeze at a price change, so the contract-date gap is a floor. Summarized by the median, because a few homes that sat for months pull an average up.
The data
20 resale sales. Average 82; median 50; standard deviation 73; middle half (25th–75th percentile) 28–124; lowest 0, highest 248. 1 sales went under contract on their listing date (0 days).
8.1.6 Discount from original list
In simple terms
How far below the first asking price the home sold, after seller payments. It measures how much negotiating room sellers gave up. A negative figure means the home sold above its first asking price.
Statistically
Discount % = (OriginalListPrice − Net) ÷ OriginalListPrice × 100, per sale; summarized by the mean.
The data
20 resale sales. Average 5.7%; median 4.2%; standard deviation 4.6%; middle half (25th–75th percentile) 2.5%–8.7%; lowest 0.0%, highest 15.4%. 0 sales closed above their first asking price.
8.1.7 Price cut before sale
In simple terms
The asking price was lowered at least once before the home went under contract.
Statistically
Indicator: ListPrice at close < OriginalListPrice. Reported as the share of sales (%).
The data
11 of 20 resale sales (55.0%).
8.1.8 Seller paid closing costs or repairs
In simple terms
The seller paid some of the buyer's closing costs or repairs.
Statistically
Indicator: ACTRIS_BuyersClsgCostPdbySell + ACTRIS_RepairsAmount > 0. Reported as the share of sales (%).
The data
11 of 20 resale sales (55.0%).
8.1.9 Has a view
In simple terms
The MLS says the home looks over something: a greenbelt or park, trees, golf course, hill country, water and similar.
Statistically
View = the View field holds any entry other than “None”, “Neighborhood” or “See Remarks”. No view = only “None” and/or “Neighborhood”. A record whose only entry is “See Remarks” cannot be classified and is left out of the view slice.
The data
13 sales with a view, 6 without, 1 unclassified. Most common View entries: Neighborhood 9, Park/Greenbelt 9, Trees/Woods 7, None 4, Pool 2, See Remarks 2, Hill Country 2, Water 1.
8.2 Methods
8.2.1 Data source
In simple terms
Every figure comes from the Austin Board of REALTORS® MLS, read live by ALEX. No figure is estimated or typed in.
Statistically
ABOR MLS via secure APIs, read from ALEX's copy of the MLS (refreshed every 15 minutes; this pull as of 2026-11-05 20:30 UTC), every field. Filter: StandardStatus = Closed, PropertyType = Residential, City = Dripping Springs, SubdivisionName contains any of “arrowhead ranch” (case-insensitive). A record is kept when its subdivision name belongs to the Arrowhead Ranch family, the same rule comparable sales use.
The data
Pulled November 5, 2026: 20 closed Arrowhead Ranch records over the prior year, in ZIP 78620. 5 subdivision spellings kept: Arrowhead Ranch (7); Arrowhead Ranch Ph 1 (6); Arrowhead Ranch Ph 4 (5); Arrowhead Ranch 50's (1); Arrowhead Ranch Ph 3 (1). No other names were found by the search.
8.2.2 Study window
In simple terms
The most recent 365 days of closed sales: recent enough to describe today's market, long enough to give each group plenty of sales. The usual window is 180 days; it holds only 8 resale sales here (under 80), so the full year is used.
Statistically
CloseDate from November 5, 2025 to November 4, 2026 inclusive.
The data
20 single-family sales in the window: 20 resale, 0 new construction.
8.2.3 Resale and new construction
In simple terms
A resale home was previously owned. New construction is sold by the builder and behaves differently, so it is kept out of every analysis and reported once on its own.
Statistically
New construction = NewConstructionYN true, or PropertyCondition contains “New Construction” or “Under Construction”. Everything else is resale.
The data
20 resale; 0 new construction.
8.2.4 Sales left out
In simple terms
A few records cannot be used as entered and are left out before any analysis.
Statistically
Excluded: PropertySubType other than Single Family Residence; no OriginalListPrice; LivingArea under 400 SF; seller payments above 10% of ClosePrice (treated as entry errors).
The data
None in this window.
8.2.5 Quartiles and groups
In simple terms
Sales lined up from lowest to highest and cut into four groups of about equal size. Each group is named by its range, for example “Under $571K”.
Statistically
Sort by the slicing variable; cut k sits at round(nk/4), k = 1…3. A cut that would split tied values moves to the nearer edge of the tie. A group under 3 sales merges into its smaller neighbor. Range names use the next group's lowest value (“Under”) and the previous group's highest value (“Over”/“After”).
The data
Quartiles by net sale price: Under $571K: $473,700–$570,000 (4 sales); $571K–$630K: $571,000–$630,000 (6 sales); $644K–$660K: $644,000–$660,000 (5 sales); Over $660K: $665,000–$830,000 (5 sales) Quartiles by living area: Under 2,735 SF: 1,866–2,560 SF (5 sales); 2,735–2,788 SF: 2,735–2,788 SF (5 sales); 2,789–3,131 SF: 2,789–3,131 SF (5 sales); Over 3,131 SF: 3,274–3,689 SF (5 sales) Groups by year built: Before 2018: 2016–2017 (5 sales); 2018–2021: 2018–2021 (8 sales); After 2021: 2022–2022 (7 sales) View and no view: View: MLS lists a view (13 sales); No view: None or Neighborhood (6 sales)
8.2.6 Average and median
In simple terms
The average adds the values and divides by how many; one very expensive home can pull it up. The median is the middle value, with half above and half below.
Statistically
Mean x̄ = (1/n) Σ xᵢ; median = 50th percentile. Price, price per SF, living area and discount use the mean; days on market and year built use the median (skewed or whole-year values).
The data
Net sale price: average $624,546, median $637,000. Days on market: average 82, median 50: the average is pulled up by a few long listings.
8.2.7 Kruskal–Wallis test
In simple terms
Checks whether a measure really differs across the four groups of a slice. It uses each sale's rank, not its value, so a few extreme sales cannot drive the answer.
Statistically
H = [12/(n(n+1))] Σ Rⱼ²/nⱼ − 3(n+1), compared with χ² on k − 1 degrees of freedom (Kruskal & Wallis, 1952). Effect size ε² = H/(n − 1): ≥ .01 small, ≥ .06 medium, ≥ .14 large (Tomczak & Tomczak, 2014). A slice is tested only when every group has at least 5 sales; smaller groups are described, not tested.
The data
Run on every measure in sections 3–5; each result is in 8.3.
8.2.8 Mann–Whitney U test
In simple terms
The same check when there are only two groups: view against no view.
Statistically
Two-sided U test (Mann & Whitney, 1947). Effect size = rank-biserial correlation |1 − 2U/(n₁n₂)|: ≥ .10 small, ≥ .30 medium, ≥ .50 large (Kerby, 2014; Cohen, 1988).
The data
Run on every measure in section 6; results in 8.3.
8.2.9 Chi-square test
In simple terms
Checks whether a yes/no share (price cut, seller payment, view) differs between groups more than chance would.
Statistically
Pearson χ² on the 2 × k table of counts, no continuity correction (Pearson, 1900). Effect size Cramér's V = √(χ²/n): ≥ .10 small, ≥ .30 medium, ≥ .50 large (Cramér, 1946).
The data
Run on the three shares in every slice; results in 8.3.
8.2.10 Real difference (significance)
In simple terms
“Real difference” means a gap this large would be very unlikely if the groups were really alike. Because many measures are checked in each slice, the bar is set higher than usual.
Statistically
Significant when p < 0.05 ÷ m, where m is the number of measures tested in that slice (Bonferroni; Dunn, 1961). The slicing variable itself differs by design and is not tested.
The data
Quartiles by living area: m = 8, threshold p < 0.0063; Groups by year built: m = 8, threshold p < 0.0063; View and no view: m = 8, threshold p < 0.0063
8.2.11 Size of a difference
In simple terms
A difference can be real but small. The size word (small, medium, large) says how much the groups pull apart.
Statistically
ε² for Kruskal–Wallis, rank-biserial r for Mann–Whitney, Cramér's V for chi-square, with the thresholds above; below the small threshold the size is “negligible”.
The data
0 real differences across the four slices; sizes are listed in 8.3.
8.2.12 Rounding in the text
In simple terms
Headings and sentences round figures so they read easily; the tables at the end of each section give them in full.
Statistically
Prices in headings round to the nearest $1K; price per SF and days on market to the nearest whole number; living area to the nearest 10 SF; shares and percentage gaps to whole percents.
The data
Days on market is always shown in days.
8.3 Test results
Every test behind every gold box. Statistic, degrees of freedom (df), p-value, the threshold it must beat, and the size of the difference.
8.3.1 Quartiles by net sale price
Too few sales in a group to test.
8.3.2 Quartiles by living area
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net sale price
Kruskal–Wallis
H = 11.33
3
0.0101
p < 0.0063
Unclear
ε² = 0.596
large
Net price per SF
Kruskal–Wallis
H = 4.73
3
0.1930
p < 0.0063
Unclear
ε² = 0.249
large
Year built
Kruskal–Wallis
H = 9.60
3
0.0223
p < 0.0063
Unclear
ε² = 0.505
large
Days on market
Kruskal–Wallis
H = 0.92
3
0.8206
p < 0.0063
Unclear
ε² = 0.048
small
Discount from original list
Kruskal–Wallis
H = 1.39
3
0.7073
p < 0.0063
Unclear
ε² = 0.073
medium
Price cut before sale
Chi-square
χ² = 2.22
3
0.5276
p < 0.0063
Unclear
Cramér’s V = 0.333
medium
Seller paid closing costs or repairs
Chi-square
χ² = 0.61
3
0.8950
p < 0.0063
Unclear
Cramér’s V = 0.174
small
Has a view
Chi-square
χ² = 0.66
3
0.8827
p < 0.0063
Unclear
Cramér’s V = 0.182
small
8.3.3 Groups by year built
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net sale price
Kruskal–Wallis
H = 6.20
2
0.0450
p < 0.0063
Unclear
ε² = 0.326
large
Net price per SF
Kruskal–Wallis
H = 9.74
2
0.0077
p < 0.0063
Unclear
ε² = 0.513
large
Living area
Kruskal–Wallis
H = 8.14
2
0.0171
p < 0.0063
Unclear
ε² = 0.428
large
Days on market
Kruskal–Wallis
H = 0.24
2
0.8857
p < 0.0063
Unclear
ε² = 0.013
small
Discount from original list
Kruskal–Wallis
H = 0.30
2
0.8607
p < 0.0063
Unclear
ε² = 0.016
small
Price cut before sale
Chi-square
χ² = 0.65
2
0.7228
p < 0.0063
Unclear
Cramér’s V = 0.180
small
Seller paid closing costs or repairs
Chi-square
χ² = 2.27
2
0.3221
p < 0.0063
Unclear
Cramér’s V = 0.337
medium
Has a view
Chi-square
χ² = 0.20
2
0.9030
p < 0.0063
Unclear
Cramér’s V = 0.101
small
8.3.4 View and no view
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net sale price
Mann–Whitney U
U = 60.50
—
0.0654
p < 0.0063
Unclear
rank-biserial r = 0.551
large
Net price per SF
Mann–Whitney U
U = 46.00
—
0.5789
p < 0.0063
Unclear
rank-biserial r = 0.179
small
Living area
Mann–Whitney U
U = 45.00
—
0.6388
p < 0.0063
Unclear
rank-biserial r = 0.154
small
Year built
Mann–Whitney U
U = 43.00
—
0.7540
p < 0.0063
Unclear
rank-biserial r = 0.103
small
Days on market
Mann–Whitney U
U = 11.00
—
0.0125
p < 0.0063
Unclear
rank-biserial r = 0.718
large
Discount from original list
Mann–Whitney U
U = 24.00
—
0.2033
p < 0.0063
Unclear
rank-biserial r = 0.385
medium
Price cut before sale
Chi-square
χ² = 0.69
1
0.4052
p < 0.0063
Unclear
Cramér’s V = 0.191
small
Seller paid closing costs or repairs
Chi-square
χ² = 0.28
1
0.5988
p < 0.0063
Unclear
Cramér’s V = 0.121
small
8.4 Data notes
Left out of the analysis: 0 new-construction sales (basic statistics only, section 7); nothing else. Statistics: Python, NumPy 2.5.3, SciPy 1.18.1.
8.5 References
Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Erlbaum.
Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press.
Dunn, O. J. (1961). Multiple comparisons among means. JASA, 56(293), 52–64.
Kerby, D. S. (2014). The simple difference formula: an approach to teaching nonparametric correlation. Comprehensive Psychology, 3, 11.IT.3.1.
Kruskal, W. H., & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. JASA, 47(260), 583–621.
Mann, H. B., & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60.
Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302), 157–175.
Tomczak, M., & Tomczak, E. (2014). The need to report effect size estimates revisited. Trends in Sport Sciences, 21(1), 19–25.