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
27
single-family resale homes
Median net sale price
$448,300
average $462,393
Median net price per SF
$220
average $220
Median days on market
16 days
average 50 days
1. SummaryResale homes · 27 sales · November 5, 2025 – November 4, 2026
This study looks at the 27 resale homes sold in Round Rock West in the 365 days to November 4, 2026. A full year is used because only 14 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 sold27 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 · 27 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: no measure differs enough between the groups to rule out chance.
3.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
3.2 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 $417K
$417K–$448K
$450K–$480K
Over $480K
Real difference?
Net price per SF
$209 per SF
$215 per SF
$230 per SF
$226 per SF
unclear
Living area
1,917 SF
2,048 SF
2,060 SF
2,493 SF
unclear
Year built
1981
1976
1979
1978
unclear
Days on market
44 days
49 days
29 days
9 days
unclear
Discount from original list
7.3%
5.7%
5.3%
2.1%
unclear
Price cut before sale
43%
43%
50%
0%
unclear
Seller paid closing costs or repairs
71%
86%
67%
71%
unclear
Has a view
43%
0%
33%
57%
unclear
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: no clear difference
The average is $226 per SF for homes over $480K and $209 per SF for homes under $417K. It does not move in a straight line; homes $450K–$480K are highest. Defined in 8.1.2.
– No clear difference · could be chance
3.4 Living area: no clear difference
The average is 2,493 SF for homes over $480K and 1,917 SF for homes under $417K. It rises step by step from the lowest range to the highest. Defined in 8.1.3.
– No clear difference · could be chance
3.5 Year built: no clear difference
The median is 1978 for homes over $480K and 1981 for homes under $417K. It does not move in a straight line; homes under $417K are highest. Defined in 8.1.4.
– No clear difference · could be chance
3.6 Days on market: no clear difference
The median is 9 days for homes over $480K and 44 days for homes under $417K. It does not move in a straight line; homes $417K–$448K are highest. Defined in 8.1.5.
– No clear difference · could be chance
3.7 Discount from original list: no clear difference
The average is 2.1% for homes over $480K and 7.3% for homes under $417K. It falls step by step from the lowest range to the highest. Defined in 8.1.6.
– No clear difference · could be chance
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.
0% of homes over $480K had a price cut before sale, against 43% of homes under $417K. Defined in 8.1.7.
71% of homes over $480K had the seller pay closing costs or repairs, against 71% of homes under $417K. Defined in 8.1.8.
57% of homes over $480K have a view, against 43% of homes under $417K. 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
3.9 The numbers: price and size
Under $417K7 sales
$417K–$448K7 sales
$450K–$480K6 sales
Over $480K7 sales
All27 sales
Real difference?
Net sale price average
$385,126
$432,186
$469,667
$563,633
$462,393
by design
Net price per SF average
$209
$215
$230
$226
$220
unclear
Living area average
1,917
2,048
2,060
2,493
2,132
unclear
Year built median
1981
1976
1979
1978
1978
unclear
3.10 The numbers: selling
Under $417K7 sales
$417K–$448K7 sales
$450K–$480K6 sales
Over $480K7 sales
All27 sales
Real difference?
Days on market median
44
49
29
9
16
unclear
Discount from original list average
7.3%
5.7%
5.3%
2.1%
5.1%
unclear
Price cut before sale
43%
43%
50%
0%
33%
unclear
Seller paid closing costs or repairs
71%
86%
67%
71%
74%
unclear
Has a view
43%
0%
33%
57%
33%
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 8.3.1.
4. Quartiles by living areaResale homes · 27 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 1,939 SF
1,939–2,133 SF
2,153–2,399 SF
Over 2,399 SF
Real difference?
Net sale price
$417K
$447K
$470K
$516K
unclear
Net price per SF
$247 per SF
$220 per SF
$211 per SF
$199 per SF
unclear
Year built
1981
1978
1977
1977
unclear
Days on market
83 days
44 days
7 days
16 days
unclear
Discount from original list
6.5%
4.5%
3.5%
5.6%
unclear
Price cut before sale
43%
43%
17%
29%
unclear
Seller paid closing costs or repairs
57%
86%
67%
86%
unclear
Has a view
43%
29%
33%
29%
unclear
4.3 Net sale price: no clear difference
The average is $516K for homes over 2,399 SF and $417K for homes under 1,939 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 $199 per SF for homes over 2,399 SF and $247 per SF for homes under 1,939 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 1977 for homes over 2,399 SF and 1981 for homes under 1,939 SF. It falls step by step from the lowest range to the highest. Defined in 8.1.4.
– No clear difference · could be chance
4.6 Days on market: no clear difference
The median is 16 days for homes over 2,399 SF and 83 days for homes under 1,939 SF. It does not move in a straight line; homes under 1,939 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 5.6% for homes over 2,399 SF and 6.5% for homes under 1,939 SF. It does not move in a straight line; homes under 1,939 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.
29% of homes over 2,399 SF had a price cut before sale, against 43% of homes under 1,939 SF. Defined in 8.1.7.
86% of homes over 2,399 SF had the seller pay closing costs or repairs, against 57% of homes under 1,939 SF. Defined in 8.1.8.
29% of homes over 2,399 SF have a view, against 43% of homes under 1,939 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 1,939 SF7 sales
1,939–2,133 SF7 sales
2,153–2,399 SF6 sales
Over 2,399 SF7 sales
All27 sales
Real difference?
Net sale price average
$416,747
$447,271
$470,480
$516,229
$462,393
unclear
Net price per SF average
$247
$220
$211
$199
$220
unclear
Living area average
1,702
2,034
2,227
2,579
2,132
by design
Year built median
1981
1978
1977
1977
1978
unclear
4.10 The numbers: selling
Under 1,939 SF7 sales
1,939–2,133 SF7 sales
2,153–2,399 SF6 sales
Over 2,399 SF7 sales
All27 sales
Real difference?
Days on market median
83
44
7
16
16
unclear
Discount from original list average
6.5%
4.5%
3.5%
5.6%
5.1%
unclear
Price cut before sale
43%
43%
17%
29%
33%
unclear
Seller paid closing costs or repairs
57%
86%
67%
86%
74%
unclear
Has a view
43%
29%
33%
29%
33%
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. Quartiles by year builtResale homes · 27 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.
Bottom line: too few sales to test.
5.1 Key differences
The top group against the bottom group: no measure differs enough to rule out chance.
5.3 Net sale price: described, not tested
The average is $420K for homes built after 1980 and $472K for homes built before 1977. It does not move in a straight line; homes built 1979–1980 are highest. Defined in 8.1.1.
Not tested: too few sales.
5.4 Net price per SF: described, not tested
The average is $238 per SF for homes built after 1980 and $215 per SF for homes built before 1977. It does not move in a straight line; homes built after 1980 are highest. Defined in 8.1.2.
Not tested: too few sales.
5.5 Living area: described, not tested
The average is 1,788 SF for homes built after 1980 and 2,206 SF for homes built before 1977. It does not move in a straight line; homes built 1977–1978 are highest. Defined in 8.1.3.
Not tested: too few sales.
5.6 Days on market: described, not tested
The median is 83 days for homes built after 1980 and 26 days for homes built before 1977. It does not move in a straight line; homes built after 1980 are highest. Defined in 8.1.5.
Not tested: too few sales.
5.7 Discount from original list: described, not tested
The average is 7.5% for homes built after 1980 and 4.0% for homes built before 1977. It does not move in a straight line; homes built after 1980 are highest. Defined in 8.1.6.
Not tested: too few sales.
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 1980 had a price cut before sale, against 38% of homes built before 1977. Defined in 8.1.7.
57% of homes built after 1980 had the seller pay closing costs or repairs, against 88% of homes built before 1977. Defined in 8.1.8.
71% of homes built after 1980 have a view, against 0% of homes built before 1977. 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.
5.9 The numbers: price and size
Before 19778 sales
1977–19788 sales
1979–19804 sales
After 19807 sales
All27 sales
Net sale price average
$471,766
$462,957
$517,500
$419,547
$462,393
Net price per SF average
$215
$201
$233
$238
$220
Living area average
2,206
2,307
2,238
1,788
2,132
Year built median
1975
1978
1980
1982
1978
5.10 The numbers: selling
Before 19778 sales
1977–19788 sales
1979–19804 sales
After 19807 sales
All27 sales
Days on market median
26
13
16
83
16
Discount from original list average
4.0%
5.4%
2.3%
7.5%
5.1%
Price cut before sale
38%
25%
0%
57%
33%
Seller paid closing costs or repairs
88%
75%
75%
57%
74%
Has a view
0%
38%
25%
71%
33%
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 · 27 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. 2 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
$477K
$452K
unclear
Net price per SF
$239 per SF
$208 per SF
unclear
Living area
2,029 SF
2,187 SF
unclear
Year built
1981
1978
unclear
Days on market
16 days
30 days
unclear
Discount from original list
5.7%
5.3%
unclear
Price cut before sale
33%
38%
unclear
Seller paid closing costs or repairs
67%
81%
unclear
6.3 Net sale price: no clear difference
The average is $477K for homes with a view and $452K 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 $239 per SF for homes with a view and $208 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 2,029 SF for homes with a view and 2,187 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 1981 for homes with a view and 1978 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 16 days for homes with a view and 30 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 5.7% for homes with a view and 5.3% 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.
33% of homes with a view had a price cut before sale, against 38% of homes without a view. Defined in 8.1.7.
67% of homes with a view had the seller pay closing costs or repairs, against 81% 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
View9 sales
No view16 sales
All25 sales
Real difference?
Net sale price average
$477,011
$452,251
$461,165
unclear
Net price per SF average
$239
$208
$219
unclear
Living area average
2,029
2,187
2,130
unclear
Year built median
1981
1978
1978
unclear
6.11 The numbers: selling
View9 sales
No view16 sales
All25 sales
Real difference?
Days on market median
16
30
19
unclear
Discount from original list average
5.7%
5.3%
5.5%
unclear
Price cut before sale
33%
38%
36%
unclear
Seller paid closing costs or repairs
67%
81%
76%
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 Round Rock West.
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
27 resale sales. Average $462,393; median $448,300; standard deviation $80,584; middle half (25th–75th percentile) $414,250–$481,000; lowest $333,653, highest $695,000. 20 sales had a seller payment; their median payment was $7,134.
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
27 resale sales. Average $220; median $220; standard deviation $33; middle half (25th–75th percentile) $207–$230; lowest $145, highest $284.
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
27 resale sales. Average 2,132; median 2,133; standard deviation 359; middle half (25th–75th percentile) 1,921–2,404; lowest 1,450, highest 3,008.
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
27 resale sales. Average 1978; median 1978; standard deviation 3; middle half (25th–75th percentile) 1976–1980; lowest 1975, highest 1984.
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
27 resale sales. Average 50; median 16; standard deviation 69; middle half (25th–75th percentile) 6–68; lowest 0, highest 318. 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
27 resale sales. Average 5.1%; median 3.6%; standard deviation 4.7%; middle half (25th–75th percentile) 2.2%–9.5%; lowest −2.6%, highest 13.6%. 3 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
9 of 27 resale sales (33.3%).
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
20 of 27 resale sales (74.1%).
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
9 sales with a view, 16 without, 2 unclassified. Most common View entries: Neighborhood 10, None 9, Creek/Stream 3, Pond 3, Trees/Woods 3, Pool 2, Water 2, Park/Greenbelt 2.
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 22:45 UTC), every field. Filter: StandardStatus = Closed, PropertyType = Residential, City = Round Rock, SubdivisionName contains any of “round rock west” (case-insensitive). A record is kept when its subdivision name belongs to the Round Rock West family, the same rule comparable sales use.
The data
Pulled November 5, 2026: 27 closed Round Rock West records over the prior year, in ZIP 78681. 9 subdivision spellings kept: Round Rock West (6); Round Rock West Sec 05 (6); Round Rock West Sec 01 (4); Round Rock West Sec 06A (3); Round Rock West Sec 04 (3); Round Rock West Sec 06-A (2); Round Rock West Sec 02 (1); Round Rock West Sec 06b (1); Round Rock West Sec 06B (1). Names found by the search but not part of Round Rock West, left out: Round Rock WestSec 4 (1).
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 14 resale sales here (under 80), so the full year is used.
Statistically
CloseDate from November 5, 2025 to November 4, 2026 inclusive.
The data
27 single-family sales in the window: 27 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
27 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 $417K”.
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 $417K: $333,653–$411,500 (7 sales); $417K–$448K: $417,000–$448,300 (7 sales); $450K–$480K: $449,600–$480,000 (6 sales); Over $480K: $482,000–$695,000 (7 sales) Quartiles by living area: Under 1,939 SF: 1,450–1,903 SF (7 sales); 1,939–2,133 SF: 1,939–2,133 SF (7 sales); 2,153–2,399 SF: 2,153–2,399 SF (6 sales); Over 2,399 SF: 2,408–3,008 SF (7 sales) Quartiles by year built: Before 1977: 1975–1976 (8 sales); 1977–1978: 1977–1978 (8 sales); 1979–1980: 1979–1980 (4 sales); After 1980: 1981–1984 (7 sales) View and no view: View: MLS lists a view (9 sales); No view: None or Neighborhood (16 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 $462,393, median $448,300. Days on market: average 50, median 16: 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 net sale price: m = 8, threshold p < 0.0063; Quartiles by living area: 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
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net price per SF
Kruskal–Wallis
H = 1.61
3
0.6578
p < 0.0063
Unclear
ε² = 0.062
medium
Living area
Kruskal–Wallis
H = 10.18
3
0.0171
p < 0.0063
Unclear
ε² = 0.392
large
Year built
Kruskal–Wallis
H = 9.04
3
0.0287
p < 0.0063
Unclear
ε² = 0.348
large
Days on market
Kruskal–Wallis
H = 6.27
3
0.0990
p < 0.0063
Unclear
ε² = 0.241
large
Discount from original list
Kruskal–Wallis
H = 3.06
3
0.3821
p < 0.0063
Unclear
ε² = 0.118
medium
Price cut before sale
Chi-square
χ² = 4.82
3
0.1853
p < 0.0063
Unclear
Cramér’s V = 0.423
medium
Seller paid closing costs or repairs
Chi-square
χ² = 0.72
3
0.8694
p < 0.0063
Unclear
Cramér’s V = 0.163
small
Has a view
Chi-square
χ² = 5.57
3
0.1344
p < 0.0063
Unclear
Cramér’s V = 0.454
medium
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 = 6.90
3
0.0752
p < 0.0063
Unclear
ε² = 0.265
large
Net price per SF
Kruskal–Wallis
H = 5.43
3
0.1427
p < 0.0063
Unclear
ε² = 0.209
large
Year built
Kruskal–Wallis
H = 6.80
3
0.0785
p < 0.0063
Unclear
ε² = 0.262
large
Days on market
Kruskal–Wallis
H = 4.35
3
0.2260
p < 0.0063
Unclear
ε² = 0.167
large
Discount from original list
Kruskal–Wallis
H = 1.26
3
0.7398
p < 0.0063
Unclear
ε² = 0.048
small
Price cut before sale
Chi-square
χ² = 1.39
3
0.7072
p < 0.0063
Unclear
Cramér’s V = 0.227
small
Seller paid closing costs or repairs
Chi-square
χ² = 2.20
3
0.5311
p < 0.0063
Unclear
Cramér’s V = 0.286
small
Has a view
Chi-square
χ² = 0.43
3
0.9343
p < 0.0063
Unclear
Cramér’s V = 0.126
small
8.3.3 Quartiles by year built
Too few sales in a group to test.
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 = 88.50
—
0.3649
p < 0.0063
Unclear
rank-biserial r = 0.229
small
Net price per SF
Mann–Whitney U
U = 103.00
—
0.0842
p < 0.0063
Unclear
rank-biserial r = 0.431
medium
Living area
Mann–Whitney U
U = 62.00
—
0.5907
p < 0.0063
Unclear
rank-biserial r = 0.139
small
Year built
Mann–Whitney U
U = 118.50
—
0.0085
p < 0.0063
Unclear
rank-biserial r = 0.646
large
Days on market
Mann–Whitney U
U = 73.50
—
0.9548
p < 0.0063
Unclear
rank-biserial r = 0.021
negligible
Discount from original list
Mann–Whitney U
U = 79.00
—
0.7129
p < 0.0063
Unclear
rank-biserial r = 0.097
negligible
Price cut before sale
Chi-square
χ² = 0.04
1
0.8350
p < 0.0063
Unclear
Cramér’s V = 0.042
negligible
Seller paid closing costs or repairs
Chi-square
χ² = 0.67
1
0.4125
p < 0.0063
Unclear
Cramér’s V = 0.164
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.