The 26 largest monthly rises in the series are the 26 Septembers
Showing the misleading chart
A production report plots 54 months of Italian textile output on a zero-based, unbroken, evenly ticked axis, every observation where it falls, nothing smoothed. The index reads 25.3 in August and 92.0 in September — a rise of 263.6% in one month — and the board is told the order book has turned. Italian plants close for the summer: August has been the lowest month of the year in all 26 complete years on record, the 26 largest one-month rises in the whole 317-step series are the 26 Septembers, and the 26 largest falls are the 26 Augusts. The same office publishes the same months with the season taken out, in the same table. On that column, August to September is −1.2%, and the four and a half years the report draws as a saw-tooth are a decline of 22.6% once the season is out.
01The claim
Fifty-four months, one line, and every observation on the page: the volume of production in Italian textile manufacturing, NACE C13, published monthly by the statistical office as an index with 2021 = 100. Nothing is smoothed, interpolated, indexed to a base of our own or rebased. No month has been dropped, none averaged into a quarter, and none is missing. The months are plotted where they fall, so a month of calendar occupies a month of chart, and the axis is linear, evenly ticked and unbroken — and it starts at zero, because production volume has a real zero to start from, so the vertical distance between any two points is the change in the index between them. Read off the chart: the index stood at 25.3 in August and 92.0 in September, a rise of 263.6% in a single month. That is the largest one-month gain in the fifty-four months on the page and the tenth largest in the twenty-six years the series has run. The five largest of all are September 2003 at +561.3%, September 2009 at +552.2%, September 2004 at +460.9%, September 2008 at +362.6% and September 2002 at +357.3%. Textiles is an industry that moves in September. Read-out for the board: the order book turned. Re-forecast the year off the September rate, release the held orders, and bring the second-shift restart forward a quarter.
02The trick
Every figure on that slide is right, and the read-out it produces is wrong, because the largest thing in this series is the calendar. Italian textile plants close for the summer holidays, so the index falls to about a third of its underlying level every August and climbs back every September — and it does so with a regularity that is hard to overstate once you go and count. August is the lowest month of the year in all twenty-six complete years on record. Of the 317 month-on-month changes since January 2000, the twenty-six largest rises are the twenty-six Septembers and the twenty-six largest falls are the twenty-six Augusts; the smallest September rise in the record is +154.2% and the smallest August fall is −61.8%. The first move in the ranking that is not a factory holiday is the reopening after the spring 2020 shutdown, at +131.4%, and it comes twenty-seventh — so a pandemic ranks below every ordinary summer in the series. The slide’s own boast gives it away, too: all five of the largest gains it cites are Septembers, which is a fact about the month rather than about the industry. What makes this different from a bent axis is that the fix already exists and was published in the same table. The same office puts out these months in three versions, and the report is drawn from the first of them. Take the calendar out — the working days, the weekends and where the public holidays fall, which the office estimates on its own model rather than by counting days — and August rises from 25.3 to 33.3. That is the largest lift any August in the record has been given, and more than the working-day count on its own would buy, August 2025 having held 20 of them against a normal month’s 21 or 22. The August-to-September gain is still +170.0%: the calendar explains part of it, the shutdown the rest. Take the repeating within-year pattern out as well and the same two months read 82.4 and 81.4, a change of −1.2%. On that column the whole window is one slow line: 100.1 in January 2022, a peak of 106.4 that May, and 77.5 by June 2026 — a decline of 22.6% that has been running underneath the saw-tooth the entire time, invisible because the season is several times larger than the trend. The first half of 2026 runs between 80.4 and 77.5, and that June figure is the lowest reading anywhere in the 54 months — which is the only piece of news on the page, and the raw chart has no way to carry it. Even the cheap fix has a catch worth knowing, because it is the one most people reach for. Comparing September with September removes the season for nothing, and here it disagrees with itself: unadjusted, September 2025 is 3.7% up on September 2024; calendar adjusted it is 2.3% down. September 2024 had 21 working days and September 2025 had 22, and one extra working day at the same daily rate is about 4.8% more output — enough on its own to flip the sign. Year on year also answers a year late, and inherits whatever was odd about the month in the divisor. (Both drawings are ours; the board, the read-out and the recommendation on the first are invented, and every measurement on both is real.)
03The fix
Ask first whether the move repeats. A shape that appears at the same point in every year is a season, a season carries no news, and the check costs one glance at the same month last year. Then compare like with like: December against December, September against September, which holds the calendar constant without a model and is the cheapest correction available. Know its two costs before leaning on it — it answers a year late, so a turn in March arrives diluted for months, and it inherits whatever was strange about the period it divides by — and remember it does nothing about working days, which here were enough on their own to flip a sign. Where the series is published seasonally adjusted, take the published column. It is made by people with the whole history and a documented method, X-13ARIMA-SEATS or TRAMO-SEATS, estimating the repeating within-year pattern along with the trading-day and holiday effects; this is not a calculation to reproduce by eye from a chart, and the usual failure is not disagreeing with it but never noticing that the query came back with the raw column. Where no adjusted version exists, a twelve-month moving average is a blunt and honest stand-in for the trend, provided you say so and remember it ends six months short of today. Say which version you drew, in the caption, the way you print a unit: “seasonally adjusted” is two words that change how every gap on the chart should be read. Better still, draw both, since the distance between the raw line and the adjusted one is exactly the season, it costs one extra series, and it is worth seeing once — put them on one shared zero-based axis so the reader can measure the gap rather than take it on trust. And keep the raw series, because it is not the inferior version of anything. Nobody ships a seasonally adjusted bale: shifts, lorries, electricity, warehousing and the cash that pays for them all run on the unadjusted line, and a plant making a quarter of its usual output in August has to be staffed for exactly that. The raw series answers how much, the adjusted series answers how are we doing, and the failure is never using one of them — it is using one to answer the other’s question.