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
21
single-family resale homes
Median net sale price
$795,000
average $812,966
Median net price per SF
$219
average $224
Median days on market
25 days
average 41 days
1. SummaryResale homes · 21 sales · November 8, 2025 – November 7, 2026
This study looks at the 21 resale homes sold in Fairways At Crystal Falls in the 365 days to November 7, 2026. A full year is used because only 12 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 sold21 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 · 21 sales · November 8, 2025 – November 7, 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 $710K
$710K–$782K
$795K–$868K
Over $868K
Real difference?
Net price per SF
$198 per SF
$214 per SF
$231 per SF
$249 per SF
unclear
Living area
3,148 SF
3,541 SF
3,654 SF
4,101 SF
unclear
Year built
2011
2013
2013
2012
unclear
Days on market
66 days
57 days
10 days
24 days
unclear
Discount from original list
5.0%
4.5%
2.4%
4.9%
unclear
Price cut before sale
60%
20%
20%
33%
unclear
Seller paid closing costs or repairs
80%
60%
80%
100%
unclear
Has a view
0%
60%
80%
50%
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 $249 per SF for homes over $868K and $198 per SF for homes under $710K. It rises step by step from the lowest range to the highest. Defined in 8.1.2.
– No clear difference · could be chance
3.4 Living area: no clear difference
The average is 4,101 SF for homes over $868K and 3,148 SF for homes under $710K. 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 2012 for homes over $868K and 2011 for homes under $710K. It does not move in a straight line; homes $710K–$782K are highest. Defined in 8.1.4.
– No clear difference · could be chance
3.6 Days on market: no clear difference
The median is 24 days for homes over $868K and 66 days for homes under $710K. It does not move in a straight line; homes under $710K 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 4.9% for homes over $868K and 5.0% for homes under $710K. It does not move in a straight line; homes under $710K are 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.
33% of homes over $868K had a price cut before sale, against 60% of homes under $710K. Defined in 8.1.7.
100% of homes over $868K had the seller pay closing costs or repairs, against 80% of homes under $710K. Defined in 8.1.8.
50% of homes over $868K have a view, against 0% of homes under $710K. 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 $710K5 sales
$710K–$782K5 sales
$795K–$868K5 sales
Over $868K6 sales
All21 sales
Real difference?
Net sale price average
$614,369
$744,055
$831,130
$1,020,753
$812,966
by design
Net price per SF average
$198
$214
$231
$249
$224
unclear
Living area average
3,148
3,541
3,654
4,101
3,634
unclear
Year built median
2011
2013
2013
2012
2012
unclear
3.10 The numbers: selling
Under $710K5 sales
$710K–$782K5 sales
$795K–$868K5 sales
Over $868K6 sales
All21 sales
Real difference?
Days on market median
66
57
10
24
25
unclear
Discount from original list average
5.0%
4.5%
2.4%
4.9%
4.2%
unclear
Price cut before sale
60%
20%
20%
33%
33%
unclear
Seller paid closing costs or repairs
80%
60%
80%
100%
81%
unclear
Has a view
0%
60%
80%
50%
48%
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 · 21 sales · November 8, 2025 – November 7, 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 3,289 SF
3,289–3,682 SF
3,683–3,970 SF
Over 3,970 SF
Real difference?
Net sale price
$663K
$758K
$844K
$957K
unclear
Net price per SF
$234 per SF
$218 per SF
$222 per SF
$224 per SF
unclear
Year built
2013
2013
2012
2012
unclear
Days on market
25 days
7 days
40 days
24 days
unclear
Discount from original list
5.4%
1.6%
4.7%
5.1%
unclear
Price cut before sale
20%
20%
60%
33%
unclear
Seller paid closing costs or repairs
60%
80%
80%
100%
unclear
Has a view
40%
60%
40%
50%
unclear
4.3 Net sale price: no clear difference
The average is $957K for homes over 3,970 SF and $663K for homes under 3,289 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 $224 per SF for homes over 3,970 SF and $234 per SF for homes under 3,289 SF. It does not move in a straight line; homes under 3,289 SF are highest. Defined in 8.1.2.
– No clear difference · could be chance
4.5 Year built: no clear difference
The median is 2012 for homes over 3,970 SF and 2013 for homes under 3,289 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 24 days for homes over 3,970 SF and 25 days for homes under 3,289 SF. It does not move in a straight line; homes 3,683–3,970 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 5.1% for homes over 3,970 SF and 5.4% for homes under 3,289 SF. It does not move in a straight line; homes under 3,289 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.
33% of homes over 3,970 SF had a price cut before sale, against 20% of homes under 3,289 SF. Defined in 8.1.7.
100% of homes over 3,970 SF had the seller pay closing costs or repairs, against 60% of homes under 3,289 SF. Defined in 8.1.8.
50% of homes over 3,970 SF have a view, against 40% of homes under 3,289 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 3,289 SF5 sales
3,289–3,682 SF5 sales
3,683–3,970 SF5 sales
Over 3,970 SF6 sales
All21 sales
Real difference?
Net sale price average
$662,880
$758,464
$844,500
$957,178
$812,966
unclear
Net price per SF average
$234
$218
$222
$224
$224
unclear
Living area average
2,830
3,492
3,808
4,279
3,634
by design
Year built median
2013
2013
2012
2012
2012
unclear
4.10 The numbers: selling
Under 3,289 SF5 sales
3,289–3,682 SF5 sales
3,683–3,970 SF5 sales
Over 3,970 SF6 sales
All21 sales
Real difference?
Days on market median
25
7
40
24
25
unclear
Discount from original list average
5.4%
1.6%
4.7%
5.1%
4.2%
unclear
Price cut before sale
20%
20%
60%
33%
33%
unclear
Seller paid closing costs or repairs
60%
80%
80%
100%
81%
unclear
Has a view
40%
60%
40%
50%
48%
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 · 21 sales · November 8, 2025 – November 7, 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: 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 2011
2011–2012
2013
After 2013
Real difference?
Net sale price
$707K
$852K
$854K
$831K
unclear
Net price per SF
$199 per SF
$224 per SF
$229 per SF
$245 per SF
unclear
Living area
3,622 SF
3,781 SF
3,690 SF
3,415 SF
unclear
Days on market
10 days
49 days
7 days
25 days
unclear
Discount from original list
5.3%
6.8%
1.7%
2.5%
unclear
Price cut before sale
40%
50%
20%
20%
unclear
Seller paid closing costs or repairs
80%
83%
100%
60%
unclear
Has a view
60%
17%
60%
60%
unclear
5.3 Net sale price: no clear difference
The average is $831K for homes built after 2013 and $707K for homes built before 2011. It does not move in a straight line; homes built 2013 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 $245 per SF for homes built after 2013 and $199 per SF for homes built before 2011. 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 3,415 SF for homes built after 2013 and 3,622 SF for homes built before 2011. It does not move in a straight line; homes built 2011–2012 are highest. Defined in 8.1.3.
– No clear difference · could be chance
5.6 Days on market: no clear difference
The median is 25 days for homes built after 2013 and 10 days for homes built before 2011. It does not move in a straight line; homes built 2011–2012 are highest. Defined in 8.1.5.
– No clear difference · could be chance
5.7 Discount from original list: no clear difference
The average is 2.5% for homes built after 2013 and 5.3% for homes built before 2011. It does not move in a straight line; homes built 2011–2012 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.
20% of homes built after 2013 had a price cut before sale, against 40% of homes built before 2011. Defined in 8.1.7.
60% of homes built after 2013 had the seller pay closing costs or repairs, against 80% of homes built before 2011. Defined in 8.1.8.
60% of homes built after 2013 have a view, against 60% of homes built before 2011. 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 20115 sales
2011–20126 sales
20135 sales
After 20135 sales
All21 sales
Real difference?
Net sale price average
$707,309
$852,125
$853,869
$830,730
$812,966
unclear
Net price per SF average
$199
$224
$229
$245
$224
unclear
Living area average
3,622
3,781
3,690
3,415
3,634
unclear
Year built median
2007
2012
2013
2014
2012
by design
5.10 The numbers: selling
Before 20115 sales
2011–20126 sales
20135 sales
After 20135 sales
All21 sales
Real difference?
Days on market median
10
49
7
25
25
unclear
Discount from original list average
5.3%
6.8%
1.7%
2.5%
4.2%
unclear
Price cut before sale
40%
50%
20%
20%
33%
unclear
Seller paid closing costs or repairs
80%
83%
100%
60%
81%
unclear
Has a view
60%
17%
60%
60%
48%
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 · 21 sales · November 8, 2025 – November 7, 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. 3 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
$865K
$702K
unclear
Net price per SF
$237 per SF
$206 per SF
unclear
Living area
3,686 SF
3,418 SF
unclear
Year built
2013
2012
unclear
Days on market
22 days
41 days
unclear
Discount from original list
4.9%
4.0%
unclear
Price cut before sale
20%
62%
unclear
Seller paid closing costs or repairs
90%
75%
unclear
6.3 Net sale price: no clear difference
The average is $865K for homes with a view and $702K 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 $237 per SF for homes with a view and $206 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 3,686 SF for homes with a view and 3,418 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 2013 for homes with a view and 2012 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 22 days for homes with a view and 41 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 4.9% for homes with a view and 4.0% 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.
20% of homes with a view had a price cut before sale, against 62% of homes without a view. Defined in 8.1.7.
90% of homes with a view had the seller pay closing costs or repairs, against 75% 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
View10 sales
No view8 sales
All18 sales
Real difference?
Net sale price average
$864,529
$702,249
$792,405
unclear
Net price per SF average
$237
$206
$223
unclear
Living area average
3,686
3,418
3,567
unclear
Year built median
2013
2012
2013
unclear
6.11 The numbers: selling
View10 sales
No view8 sales
All18 sales
Real difference?
Days on market median
22
41
26
unclear
Discount from original list average
4.9%
4.0%
4.5%
unclear
Price cut before sale
20%
62%
39%
unclear
Seller paid closing costs or repairs
90%
75%
83%
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 8, 2025 – November 7, 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 Fairways At Crystal Falls.
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
21 resale sales. Average $812,966; median $795,000; standard deviation $165,131; middle half (25th–75th percentile) $710,000–$950,000; lowest $525,000, highest $1,146,570. 17 sales had a seller payment; their median payment was $5,225.
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
21 resale sales. Average $224; median $219; standard deviation $32; middle half (25th–75th percentile) $204–$250; lowest $171, highest $273.
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
21 resale sales. Average 3,634; median 3,683; standard deviation 573; middle half (25th–75th percentile) 3,289–4,134; lowest 2,448, highest 4,395.
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
21 resale sales. Average 2012; median 2012; standard deviation 3; middle half (25th–75th percentile) 2011–2013; lowest 2005, highest 2017.
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
21 resale sales. Average 41; median 25; standard deviation 48; middle half (25th–75th percentile) 7–57; lowest 2, highest 183. 0 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
21 resale sales. Average 4.2%; median 2.8%; standard deviation 4.7%; middle half (25th–75th percentile) 1.3%–4.1%; lowest 0.2%, highest 16.0%. 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
7 of 21 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
17 of 21 resale sales (81.0%).
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
10 sales with a view, 8 without, 3 unclassified. Most common View entries: Neighborhood 6, None 4, Hill Country 4, Trees/Woods 4, See Remarks 3, Park/Greenbelt 3, Canyon 2, Pool 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 2026-11-08 10:00 UTC), every field. Filter: StandardStatus = Closed, PropertyType = Residential, City = Leander, SubdivisionName contains any of “fairways at crystal falls”, “fairways”, “highlands crystal falls”, “highlands/crystal falls” (case-insensitive). A record is kept when its subdivision name belongs to the Fairways At Crystal Falls family, the same rule comparable sales use (it includes Fairways Ph 1 Crystal Falls, Highlands/Crystal Falls, proven adjacent and priced alike).
The data
Pulled November 8, 2026: 21 closed Fairways At Crystal Falls records over the prior year, in ZIP 78641, 78461. 7 subdivision spellings kept: Fairways At Crystal Falls Sec (7); Fairways At Crystal Falls (4); Fairways at Crystal Falls (3); Fairways Ph 1 Crystal Falls (3); Highlands/Crystal Falls Sec 1 (2); Fairways at Crystal Falls Sec (1); Highlands Crystal Falls Sec I (1). Names found by the search but not part of Fairways At Crystal Falls, left out: Fairways At Crystal Falls Sc3 P (2); Fairways At Crystal Flls Sc3 P (2); Fairways/Crystal Falls Sec 3 P (1); Fairways/Crystal Falls Ph 2A S (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 12 resale sales here (under 80), so the full year is used.
Statistically
CloseDate from November 8, 2025 to November 7, 2026 inclusive.
The data
21 single-family sales in the window: 21 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
21 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 $710K”.
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 $710K: $525,000–$699,400 (5 sales); $710K–$782K: $710,000–$781,500 (5 sales); $795K–$868K: $795,000–$867,500 (5 sales); Over $868K: $950,000–$1,146,570 (6 sales) Quartiles by living area: Under 3,289 SF: 2,448–3,129 SF (5 sales); 3,289–3,682 SF: 3,289–3,682 SF (5 sales); 3,683–3,970 SF: 3,683–3,970 SF (5 sales); Over 3,970 SF: 4,134–4,395 SF (6 sales) Quartiles by year built: Before 2011: 2005–2009 (5 sales); 2011–2012: 2011–2012 (6 sales); 2013: 2013–2013 (5 sales); After 2013: 2014–2017 (5 sales) View and no view: View: MLS lists a view (10 sales); No view: None or Neighborhood (8 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 $812,966, median $795,000. Days on market: average 41, median 25: 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; Quartiles 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
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net price per SF
Kruskal–Wallis
H = 9.02
3
0.0291
p < 0.0063
Unclear
ε² = 0.451
large
Living area
Kruskal–Wallis
H = 7.81
3
0.0502
p < 0.0063
Unclear
ε² = 0.390
large
Year built
Kruskal–Wallis
H = 2.28
3
0.5168
p < 0.0063
Unclear
ε² = 0.114
medium
Days on market
Kruskal–Wallis
H = 3.11
3
0.3751
p < 0.0063
Unclear
ε² = 0.155
large
Discount from original list
Kruskal–Wallis
H = 1.14
3
0.7676
p < 0.0063
Unclear
ε² = 0.057
small
Price cut before sale
Chi-square
χ² = 2.40
3
0.4936
p < 0.0063
Unclear
Cramér’s V = 0.338
medium
Seller paid closing costs or repairs
Chi-square
χ² = 2.84
3
0.4168
p < 0.0063
Unclear
Cramér’s V = 0.368
medium
Has a view
Chi-square
χ² = 6.97
3
0.0729
p < 0.0063
Unclear
Cramér’s V = 0.576
large
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 = 8.47
3
0.0372
p < 0.0063
Unclear
ε² = 0.424
large
Net price per SF
Kruskal–Wallis
H = 0.34
3
0.9519
p < 0.0063
Unclear
ε² = 0.017
small
Year built
Kruskal–Wallis
H = 1.95
3
0.5821
p < 0.0063
Unclear
ε² = 0.098
medium
Days on market
Kruskal–Wallis
H = 3.76
3
0.2888
p < 0.0063
Unclear
ε² = 0.188
large
Discount from original list
Kruskal–Wallis
H = 4.55
3
0.2076
p < 0.0063
Unclear
ε² = 0.228
large
Price cut before sale
Chi-square
χ² = 2.40
3
0.4936
p < 0.0063
Unclear
Cramér’s V = 0.338
medium
Seller paid closing costs or repairs
Chi-square
χ² = 2.84
3
0.4168
p < 0.0063
Unclear
Cramér’s V = 0.368
medium
Has a view
Chi-square
χ² = 0.55
3
0.9070
p < 0.0063
Unclear
Cramér’s V = 0.162
small
8.3.3 Quartiles by year built
Measure
Test
Statistic
df
p-value
Threshold
Real difference?
Effect size
Size
Net sale price
Kruskal–Wallis
H = 2.22
3
0.5276
p < 0.0063
Unclear
ε² = 0.111
medium
Net price per SF
Kruskal–Wallis
H = 6.11
3
0.1064
p < 0.0063
Unclear
ε² = 0.305
large
Living area
Kruskal–Wallis
H = 1.08
3
0.7824
p < 0.0063
Unclear
ε² = 0.054
small
Days on market
Kruskal–Wallis
H = 3.64
3
0.3027
p < 0.0063
Unclear
ε² = 0.182
large
Discount from original list
Kruskal–Wallis
H = 4.24
3
0.2365
p < 0.0063
Unclear
ε² = 0.212
large
Price cut before sale
Chi-square
χ² = 1.65
3
0.6481
p < 0.0063
Unclear
Cramér’s V = 0.280
small
Seller paid closing costs or repairs
Chi-square
χ² = 2.62
3
0.4531
p < 0.0063
Unclear
Cramér’s V = 0.354
medium
Has a view
Chi-square
χ² = 3.23
3
0.3580
p < 0.0063
Unclear
Cramér’s V = 0.392
medium
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 = 66.00
—
0.0205
p < 0.0063
Unclear
rank-biserial r = 0.650
large
Net price per SF
Mann–Whitney U
U = 63.00
—
0.0434
p < 0.0063
Unclear
rank-biserial r = 0.575
large
Living area
Mann–Whitney U
U = 51.00
—
0.3599
p < 0.0063
Unclear
rank-biserial r = 0.275
small
Year built
Mann–Whitney U
U = 41.50
—
0.9280
p < 0.0063
Unclear
rank-biserial r = 0.038
negligible
Days on market
Mann–Whitney U
U = 28.50
—
0.3276
p < 0.0063
Unclear
rank-biserial r = 0.287
small
Discount from original list
Mann–Whitney U
U = 41.00
—
0.9654
p < 0.0063
Unclear
rank-biserial r = 0.025
negligible
Price cut before sale
Chi-square
χ² = 3.38
1
0.0661
p < 0.0063
Unclear
Cramér’s V = 0.433
medium
Seller paid closing costs or repairs
Chi-square
χ² = 0.72
1
0.3961
p < 0.0063
Unclear
Cramér’s V = 0.200
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.