The corpus › Education Agency

Toledo City School District

Ohio’s fourth-largest district, and one half of a pair with Perrysburg — eleven miles apart, one urban and one exempted village. verified

education-agency/toledo-city · 4 nodes point here · 5 corrections

This district, in the current model Contents

The corpus says what Toledo City illustrates. The FY2027 model says what it is paid: $9,978 per pupil, all of it from the formula.

FY2025 in one line: 21,160 pupils, $440.2 million of operating expenditure, $20,805 per headcount pupil, a Performance Index of 60.4, and a Progress effect size of −0.02. verified computed; see crates/dispersion/tests/expenditure_functions_fy25.rs

Where its extra spending goes, which is not where the argument assumed Contents

Toledo spends $6,172 more per pupil than Perrysburg and a markedly smaller share of it in a classroom: verified

                              Toledo     Perrysburg
instruction                    51.3%          62.6%
classroom instruction (CRI)    63.4%          73.1%
operations and maintenance     14.8%           7.7%
school administration           8.5%           4.8%
pupil support                   8.1%           8.5%
pupil transportation            1.6%           3.4%

The function-level gap is an order of magnitude more informative than the special-education share the circulating claim happened to name, and it comes from the same file that fact-check already cited. Plant and building administration are where an old, large, dispersed physical estate shows up in an operating budget; whether that is inefficiency or the cost of the buildings Toledo actually has is not a question a share can answer. inference

What this repository computed Contents

Not what Ohio publishes. Figures derived here from committed fixtures, each one citing the test that reproduces it.

It is the corpus’s clearest case of the denominator problem in the wild. The same operating total divided by weighted ADM gives $14,312 — which is what the report card prints as expenditure per equivalent pupil, and what OCG White Paper 013 analyzed. Divided by headcount it gives $20,805, which is what OCG fact-check RL-2026-021 reported three weeks later. A 45% spread for one district in one year, in two publications from one author, neither noting the other’s basis. verified Toledo’s weighted ADM is 30,758 against 21,160 enrolled — a weight ratio of 1.45, the consequence of a 98.9% economically disadvantaged share and a 21.9% disability share.

Normalized by the population actually served Contents

It reports Toledo spending $2,766 per pupil on special-education instruction against Perrysburg’s $2,032–$2,363, and reads the difference as “consistent with a modestly heavier student-need profile.” Toledo’s disability share is 21.9% against Perrysburg’s 11.3% — nearly double, not modest. Normalized by the population actually served, Toledo spends roughly $12,600 per student with a disability against Perrysburg’s $18,000–$20,900: about a third less, not somewhat more. inference the special-education dollars are the fact-check’s, from audited statements this corpus does not hold; the shares are the report card’s, so this is an order-of-magnitude normalization rather than an audited per-pupil cost. A 1.94x population difference against a 1.36x spending difference leaves no room for the sign to return.

This is the corpus’s denominator rule arriving a third time and from a new direction. The first two were about dividing spending by a need-weighted pupil count; this one is about dividing special-education spending by a population that is mostly not receiving it. inference

The years before FY2024, which the survey holds and this node did not read Contents

The Census F-33 Ohio panel runs from FY2009 and carries Toledo in every year it holds. verified crates/dispersion

Toledo’s state revenue per pupil lost 15.1% against prices between FY2010 and FY2024 — measured net of the community-school deduct in both years, which is the only way the survey’s state column is one quantity across that span. Its local revenue per pupil fell 8.14% in real terms, while its enrollment fell 21%. Both of Toledo’s revenue sources lost ground against prices for fourteen years. Beside it, Perrysburg lost 20.3% of its state revenue on the same basis and gained 22.3% of its local. verified crates/dispersion

The state figures here replace a published pair — Toledo 34.3%, Perrysburg 22.75% — that read the column as the survey prints it and so charged each district its own deduct. Correcting it halves Toledo’s fall and reverses the comparison: on one basis the wealthy district’s state revenue lost more ground against prices than the high-need one’s, and it is the local column, not the state one, that separates them. verified

The apparent step at FY2016 is the survey changing what it counts Contents

The published series does not decline smoothly: it drops about 30% in a single year at FY2016 and never returns. That drop is not Ohio’s. From FY2016 the U.S. Census Bureau subtracts a district’s payments to community schools from the state revenue it credits the district with, and before FY2016 it does not. The Bureau’s own state notes give the reason — Ohio’s deduct puts the same state dollar in the community school’s revenue and in the resident district’s, and the subtraction removes the double count — and the note is absent from the FY2015 documentation and present from the FY2016 documentation. Ohio is the only state it is written for. verified crates/dispersion

The data locates the same year without the note. Correlating each district’s deduct per pupil against its change in state revenue per pupil, the deduct predicts the change at one transition in eleven — FY2015 to FY2016, at −0.2506 — and the largest reading in any other year is 0.1026; putting both years on one basis takes it to 0.0183. Statewide, districts’ state revenue falls $849.9 million across FY2016 and those same districts paid community schools $920.0 million that year, which is the same quantity seen from the other side. verified

So the tail was never there, and what is left is one mechanism rather than two Contents

On one basis thirteen of Ohio’s fourteen largest districts gained across the step. Columbus goes from a published −29.22% to +14.93%, Toledo from −20.49% to +13.88%, Dayton from −3.50% to +32.14%. The 27 districts falling more than a fifth become 19, the pupils they hold go from 6.7% of the panel to 0.0166 of it, and the median district’s gain rises from 9.56% to 13.74%. Toledo’s own deduct was 35.3% of the state revenue the survey credited it with in FY2015, which is most of the 30% fall this node recorded. verified

What survives is capacity aid. Across 604 districts the step’s strongest correlate is still the log of a district’s total assessed value, at −0.2691, and the gradient is still monotone: the smallest-valuation fifth gains 26.79% against the largest fifth’s 10.60%, and now every fifth gains. FY2016 is H.B. 64’s first year, and LSC’s greenbook describes its new component in these words: capacity aid “targets funding to smaller districts with relatively low total property valuation”, “based on the amount a district can raise with one mill”, “provided to districts that raise less than the median amount”. One mill’s yield is a measure of total valuation, and capacity aid is the only Ohio component that prefers a district’s total valuation to its valuation per pupil — which is the comparison the correction leaves standing, standardized −0.1994 against −0.1204. verified crates/xcheck

It is not the only thing in the step, and the published version said it was. On one basis a disadvantage term reaches t = +3.92 where the published column had it at +1.38, third of three terms that all clear two. A year that raised capacity aid and the money that follows need should look like this; the published column could not show it because the adjustment had taken the largest deducts — which belong to the poorest districts — out of the outcome. verified

The published local share carries the same break in the other direction, because the adjustment reaches total revenue too. Ohio’s districts appear to go from 50.19% locally funded in FY2015 to 52.84% in FY2016; on one basis they go from 52.39% to 52.84%. Five sixths of a jump that could be read as a shift onto the property tax is the Bureau’s bookkeeping. verified

What removed a fifth to a third of the state’s contribution to Ohio’s high-poverty urban districts between FY2013 and FY2016 was the question this node left open. Nothing did. The tangible personal property phase-out this node first named is not in it either, on any basis: the step correlates +0.1175 with a district’s industrial property share, which is the wrong sign for that reading. verified

And that holds class by class, which the summed measure it was first taken on could not show. Table SD-1 carries business property in three columns — industrial, mineral and public utility — and they are three different populations, which the withdrawal below did not separate. Added together at TY2021 they give +0.0164, and that near-zero is opposite signs canceling rather than an absence: the step runs −0.0321 on mineral and −0.0159 on public utility against the positive industrial reading. Separated, no class separates its concentrated districts from the rest of the frame at two standard errors — the mineral one included, so the oil and gas districts that dominate the same three columns a decade later carry no FY2016 signature either. verified crates/xcheck

The equalization series was checked against the published step and is untouched by the correction as well: it cuts by quartile and takes an unweighted mean over about 152 districts, so the poorest quartile’s state revenue per pupil rises across FY2016 either way and the band Equity states holds. A quartile mean is one tiny district wide, and by the same arithmetic it is six enormous districts deep. verified

Three cautions on the series. The survey’s state revenue column is every dollar the state sent, capital included, so one district-year of it is not that district’s foundation aid — a district in a build year reports state revenue above its whole current spending. FY2014 is absent from the archive. And the deduct column that makes the correction possible is itself reported as a zero rather than as a missing value in FY2009 and FY2022, so the corrected series runs FY2010 to FY2024 and no earlier. verified

Not yet held: audited-statement figures, and the scholarship deduction that a district of this size and poverty carries. The community-school half of it is now held, as the survey’s V92 column — $86.0 million in FY2015 — but only in the aggregate the survey reports, not by receiving school. open

The district dates itself to May 8, 1849. Its 175th-anniversary timeline gives “May 8, 1849 Toledo Public Schools is established with the election of school board officers”, and counts the years “from its inception on May 8, 1849”. That is the district’s own account, published for the anniversary, and neither the election return nor the board’s first minute was read; the Auditor of State’s audits, which recite an organization date for some districts, give none for this one. inference

Correlation of the FY2016 move in state revenue per pupil with each business property class Contents

IndustrialMineralPublic utilityAll three summed0+1Ratio
IndustrialMineralPublic utilityAll three summed0+1Ratio
IndustrialMineralPublic utilityAll three summed0+1Ratio
The values
  • Industrial: +0.1175
  • Mineral: −0.0321
  • Public utility: −0.0159
  • All three summed: +0.0164

By property class, TY2021 share of assessed value. Hover or focus a bar for its value.

Properties Contents

IRN044909 verified report card district files
Kind of agencycity
CountyLucas
Established1849-05-08
FY2025 profileEnrolled ADM (unweighted) 21,159.75; weighted ADM 30,758; weight ratio 1.454. Operating expenditure $440,219,539.58 — $20,805 per headcount pupil, $14,312 per equivalent pupil. Economically disadvantaged 98.9% (report-card measure, top-coded by community eligibility); students with disabilities 21.9%; English learners 2.4%. Performance Index 60.4 (2024-25), 57.9 (2023-24), 58.8 (2022-23). Progress effect size −0.02; composite −5.07. verified
TypologyUrban, very high poverty. Typology code 8, one of the eight districts in the department's most urban and poorest category. Student poverty at classification was 76.6%. verified
RolesMajor urban district throughout the period held verified. Subject of OCG fact-check RL-2026-021 verified. Not on the guarantee: its temp_transitional_aid_guarantee in crates/foundation/fixtures/fy27-department-model.csv is zero, so the formula rather than a held-harmless amount determines its aid — the only one of the corpus's four district exemplars of which that is true, and the poorest of the four on valuation per pupil ($135,506, the 6th percentile). 294 of the model's 609 districts are on it. verified
Series in the repositorycrates/dispersion/fixtures/report-card-2425-district-data.csv and crates/dispersion/fixtures/expenditure-functions-fy25.csv, keyed by IRN 044909.

What this node used to say Contents

The corpus is not rewritten to have always been right. Each entry is a claim this node carried, what replaced it, and the thing that settled it.

Correction 1 of 5

It said

“The tail is mostly small districts with large industrial tax bases — Green Local, Botkins, Ridgemont, Otsego, Carey — which is the profile of a district losing tangible personal property revenue. Whether that is the cause is not established here, and tpp-replacement-payments is where it would be settled.”

It says

Withdrawn. The step has no relationship to industrial property. Against Table SD-1’s own tax-base composition it correlates +0.09 with industrial share and +0.04 with industrial, mineral and public-utility value together — the wrong sign for the reading, which needs industrial districts to have fallen. The 27 deep fallers carry a lower business-property share than everyone else, 0.1412 against 0.1517, and the quintile gradient on business property is flat.

Settled by

Measuring it. The characterization was five district names read off a sorted list, and Table SD-1 carries industrial_value, mineral_value and public_utility_value per district, which nothing had regressed the step against.

What else it touched

No figure was bound to the claim. What it cost was a pointer: tpp-replacement-payments was named as the place the question would be settled and it is not, which would have sent the next reader to the wrong fixture. The replacement finding is capacity aid for the median and an unexplained urban fall for the tail.

Correction 2 of 5

It said

“27 districts fall more than a fifth and they hold 6.7% of the panel’s pupils… Among Ohio’s 14 largest districts the fall separates by poverty rather than by size: Columbus, Cleveland, Cincinnati, Toledo and Dayton lose between 21.8% and 38.8% from FY2015 to FY2016… What removed a fifth to a third of the state’s contribution to Ohio’s high-poverty urban districts between FY2013 and FY2016 is not established here.”

It says

Withdrawn. Nothing removed it. The survey’s state revenue column is gross of the community-school deduct through FY2015 and net of it from FY2016, so the measure charged each district its own deduct once and called the result a fall. On one basis thirteen of the fourteen largest districts gained: Columbus +14.93%, Toledo +13.88%, Dayton +32.14%. The twenty-seven deep fallers become nineteen holding 0.0166 of the panel’s pupils rather than 6.7%. Toledo’s own deduct was 35.3% of the state revenue it was credited with in FY2015.

Settled by

Reading the survey’s other thirteen state-revenue columns. The panel collapses all of them into one state_revenue field, and the publisher’s documentation carries a note for Ohio and for no other state saying that payments to charter schools are subtracted from general formula assistance — absent from the FY2015 edition, present from the FY2016 edition. The data agrees without the note: a district’s deduct predicts its change at that one transition and at none of the other ten.

What else it touched

Wide, and this is the cost of a definitional break nothing had checked. Six figure pins moved because fy2016::frame is rebuilt on one basis; three long-run figures were restated from FY2010 rather than FY2009 because FY2009’s deduct is reported as a zero; and the corrected pair reverses a published comparison — Perrysburg’s state revenue lost more ground against prices than Toledo’s, not less. The panel now carries the deduct as its own column so the correction is available to every consumer rather than to this node.

Correction 3 of 5

It said

“In a model carrying total valuation, valuation per pupil and disadvantage together, total valuation is the term that matters: standardized −0.29096 against −0.11219 for wealth per pupil, with the disadvantage term not clearing two.”

It says

Revised. Total valuation is still the largest of the three and still beats wealth per pupil, which is the comparison that identifies capacity aid — but at −0.1994 against −0.1204 rather than by a factor of two, and the disadvantage term reaches t = +3.92. All three terms clear two. The step is a year that raised capacity aid and the money that follows need, not capacity aid alone.

Settled by

Refitting the same model with the outcome on one basis. The adjustment had removed the largest deducts from the outcome, and the largest deducts belong to the poorest districts, so the poverty term was being canceled by an artifact.

What else it touched

One sentence of this node and one assertion in crates/xcheck/tests/what_fell_out_of_the_state_column.rs, which pinned the disadvantage term below two and now pins it above three.

Correction 4 of 5

It said

A published fact-check read Toledo’s $2,766 per pupil of special-education instruction against Perrysburg’s $2,032–$2,363 as “consistent with a modestly heavier student-need profile”.

It says

Toledo’s disability share is 21.9% against Perrysburg’s 11.3% — nearly double, not modest. Per student with a disability, Toledo spends roughly $12,600 against Perrysburg’s $18,000–$20,900: about a third less, not somewhat more.

Settled by

The report card’s own disability shares, applied to the fact-check’s audited spending figures.

What else it touched

An order-of-magnitude normalization rather than an audited per-pupil cost — the special-education dollars are the fact-check’s, from statements not held here. A 1.94x population difference against a 1.36x spending difference leaves no room for the sign to return. inference

Correction 5 of 5

It said

Toledo spends $6,173 more per pupil than Perrysburg.

It says

$6,172. The department publishes $20,804.57 and $14,632.16, whose difference is $6,172.41.

Settled by

Binding the gap to crates/figures. The crate test that already checked it asserted close(gap, 6_173.0, 2.0) — two dollars of tolerance around a figure the corpus published to the dollar, so the rounding sat inside the check the whole time.

What else it touched

One dollar on one figure, stated in this node and in Perrysburg. Nothing reads the gap to the dollar, and the function shares beside it are untouched. verified

Why this node is here Contents

A note from the corpus about itself rather than about Ohio, kept because provenance includes why something was written down.

The corpus's second urban exemplar. A circulating claim about its special-education spending made it the subject of a published fact-check, and the pair it forms with Perrysburg is a sharper contrast than any this corpus previously held. verified