From 59c15e58f10b8f6e96c31e5b94f12dd6f8d1d33c Mon Sep 17 00:00:00 2001 From: Shivam Lalakiya <50960482+shivamlalakiya@users.noreply.github.com> Date: Fri, 25 Sep 2026 21:11:31 -0500 Subject: [PATCH 1/2] Add a plain-language Results section to the docs Fundraisers keep asking the same question about every model: does it actually beat what we already do without it? These six pages answer that in donor counts instead of statistics, one per model ($1K upgrade, response/major gift, lapse, suggested ask, planned giving, who to mail), each comparing the model's picks against a simple rule and against random and giving a plain verdict. scripts/make_results_pages.py generates every number and chart the pages cite by running the existing benchmark_models_vs_baselines.py plus one worked example of score_upgrade_prospects, so nothing here is typed by hand; its output is committed under docs/assets/results/. --- CHANGELOG.md | 9 + docs/assets/results/ask_kdd98.png | Bin 0 -> 39066 bytes docs/assets/results/lapse_kdd98.png | Bin 0 -> 49945 bytes docs/assets/results/planned_giving.png | Bin 0 -> 44467 bytes docs/assets/results/response.png | Bin 0 -> 50130 bytes docs/assets/results/results.json | 186 +++++++++++ docs/assets/results/upgrade_deciles.png | Bin 0 -> 40996 bytes docs/assets/results/upgrade_topn.png | Bin 0 -> 51776 bytes docs/assets/results/who_to_mail.png | Bin 0 -> 34218 bytes docs/results/ask.md | 23 ++ docs/results/index.md | 30 ++ docs/results/lapse.md | 25 ++ docs/results/planned_giving.md | 22 ++ docs/results/response.md | 23 ++ docs/results/upgrade.md | 36 +++ docs/results/who_to_mail.md | 22 ++ mkdocs.yml | 8 + scripts/make_results_pages.py | 390 ++++++++++++++++++++++++ 18 files changed, 774 insertions(+) create mode 100644 docs/assets/results/ask_kdd98.png create mode 100644 docs/assets/results/lapse_kdd98.png create mode 100644 docs/assets/results/planned_giving.png create mode 100644 docs/assets/results/response.png create mode 100644 docs/assets/results/results.json create mode 100644 docs/assets/results/upgrade_deciles.png create mode 100644 docs/assets/results/upgrade_topn.png create mode 100644 docs/assets/results/who_to_mail.png create mode 100644 docs/results/ask.md create mode 100644 docs/results/index.md create mode 100644 docs/results/lapse.md create mode 100644 docs/results/planned_giving.md create mode 100644 docs/results/response.md create mode 100644 docs/results/upgrade.md create mode 100644 docs/results/who_to_mail.md create mode 100644 scripts/make_results_pages.py diff --git a/CHANGELOG.md b/CHANGELOG.md index 100c90e..df84d94 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -6,6 +6,15 @@ Format: [Keep a Changelog](https://keepachangelog.com/en/1.1.0/) ## [Unreleased] ### Added +- A "Results" section in the docs (`docs/results/`): one page per model + ($1K upgrade, response/major gift, lapse, suggested ask, planned giving, + who to mail) written for fundraisers, not data scientists, comparing each + model's picks against a simple rule and against random in plain donor + counts, plus an index page with a one-line verdict per model. + `scripts/make_results_pages.py` generates every number and chart these + pages cite (`docs/assets/results/`), by running + `scripts/benchmark_models_vs_baselines.py` and one worked example of + `score_upgrade_prospects`, so nothing on the pages is typed by hand. - `scripts/benchmark_models_vs_baselines.py`: pairs every estimator with the simple domain rule it is meant to replace (rank by last year's total, predict last gift, mail everyone) and evaluates both on held-out, walk-forward splits: top-1%/5%/10% hit rate and lift, ROC-AUC, average precision and decile calibration for classifiers; MAE and within-25% for amount predictions; net revenue/ROI for cost-aware mail selection. Runs on the synthetic donor panel (five seeds, mean and min-max) by default; `--skip-kdd98` stays fully offline, `--fast` gives a one-seed smoke run, and `--out` writes the results table to JSON and CSV. Separate from the existing `scripts/benchmark_models.py` per-model accuracy table, which this does not replace or touch. - `philanthropy.ingest.map_columns(df, mapping, *, required=...)`: renames a user-supplied export's headers to canonical names and raises one diff --git a/docs/assets/results/ask_kdd98.png b/docs/assets/results/ask_kdd98.png new file mode 100644 index 0000000000000000000000000000000000000000..e7656f3541ed3acf4bcc88a972c09badcdd1bf79 GIT binary patch literal 39066 zcmd43cT`i$-!~d;94p5zC}0DmA3;Dm2!eDep*N*>DWQZCtf)wD(veOAgx;Hl-b?6B z1p)~jLLebWXJiF`a@yAZL}H$ZJ6$ zN1Gs!Bc6Yq0I!4#;1$7tVjhq6J+xh{J-nW|SwYmEdAx9R@o=)yAo3gU91n0zvh+AxIYy)59=r`8a z|2EQn`t;`5*x0Xy1$HSZspqFZRb}t*`?a^X=MiuC`1nL7CUUQ?uKrqCaf)$EgFTod zRK}K+2qapi(*M#)i8Q3o??zkUrY3Opb_REvp; zVe9GXSvlBJ_FqNznl;bNn3-wI#l*%ctE(68?t0^ik1QT|%`7k9aD~CnYiRT;tel4I zykeTwEiwPvkAEa87 zy{4g9VV6cq#q`3@Al70-(LOPzO_EV(ili^0I_M1JZKsI-HS)WC7qe395P8Mc#g)R^ zRX8U+l_Vx5d5$k# zxOVNXNsR{vyEG>FsIY;=WKa(;FQdPF`ErTdyt2<*oKcP@_7}6+_AH 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Thin bars, direct value labels, recessive gridlines, a legend.""" + n_groups, n_series = len(groups), len(series) + width = 0.8 / n_series + x = np.arange(n_groups) + fig, ax = plt.subplots(figsize=(6.4, 4.2), dpi=150) + ax.set_facecolor("#fcfcfb") + fig.patch.set_facecolor("#fcfcfb") + for i, (name, values) in enumerate(series.items()): + offset = (i - (n_series - 1) / 2) * width + bars = ax.bar( + x + offset, values, width=width * 0.9, label=name, + color=colors[name], edgecolor="none", + ) + for b, v in zip(bars, values): + ax.text( + b.get_x() + b.get_width() / 2, b.get_height(), f"{v:.0f}", + ha="center", va="bottom", fontsize=9, color=INK_PRIMARY, + ) + ax.set_xticks(x) + ax.set_xticklabels(groups) + ax.set_ylabel(ylabel, color=INK_SECONDARY) + ax.set_title(title, color=INK_PRIMARY, fontsize=11, loc="left") + ax.spines[["top", "right"]].set_visible(False) + ax.spines[["left", "bottom"]].set_color(GRID) + ax.tick_params(colors=INK_SECONDARY) + ax.yaxis.grid(True, color=GRID, linewidth=0.8) + ax.set_axisbelow(True) + ax.legend(frameon=False, labelcolor=INK_SECONDARY) + fig.tight_layout() + fig.savefig(path) + plt.close(fig) + + +def _row(rows, model, metric): + for r in rows: + if r.model == model and r.metric == metric: + return r + return None + + +# --------------------------------------------------------------------------- # +# Random-pick baselines (expected hit rate of a uniform-random pick = the +# fold's own positive rate). Reuses the exact train/test construction the +# benchmark script uses, so this is not a separately-typed number. +# --------------------------------------------------------------------------- # +def random_rate_response() -> float: + rates = [] + for seed in SEEDS: + _, test = bm._train_test_periods(bm._period_panel(N_DONORS, N_YEARS, seed)) + rates.append(test["y_response"].mean()) + return float(np.mean(rates)) + + +def random_rate_lapse() -> float: + rates = [] + for seed in SEEDS: + _, test = bm._train_test_periods(bm._period_panel(N_DONORS, N_YEARS, seed)) + rates.append(1.0 - test["y_response"].mean()) + return float(np.mean(rates)) + + +def random_rate_upgrade(threshold: float = 1000.0, band=(100.0, 999.0)) -> float: + rates = [] + for seed in SEEDS: + panel = bm.make_donor_panel(n_donors=N_DONORS, n_years=N_YEARS, random_state=seed) + years = sorted(panel["gifts"]["fiscal_year"].unique()) + with warnings.catch_warnings(): + warnings.simplefilter("ignore", UserWarning) + snaps = bm.build_upgrade_snapshots( + panel["gifts"], fiscal_years=years[:-1], threshold=threshold, band=band, + ) + if snaps.empty or snaps["fiscal_year"].nunique() < 2: + continue + fy = snaps["fiscal_year"].to_numpy() + y = snaps["target"].to_numpy() + splitter = bm.FiscalYearGroupedSplitter(n_splits=1, drop_repeat_donors=False) + train_idx, test_idx = list(splitter.split(snaps[["fy_total"]].to_numpy(), groups=fy))[-1] + rates.append(y[test_idx].mean()) + return float(np.mean(rates)) + + +def planned_giving_hit_rates() -> Dict[str, Any]: + """PlannedGivingIntentScorer has no bequest-intent label in the sample + data (see benchmark_models_vs_baselines.bench_planned_giving's own + docstring): this reuses the giving-response label as the nearest + available proxy, purely as a coverage check against random picking, not + a claim about real planned-giving intent.""" + fracs = (0.01, 0.05, 0.10) + model_rates: Dict[float, list] = {f: [] for f in fracs} + random_rates: Dict[float, list] = {f: [] for f in fracs} + n_test = [] + for seed in SEEDS: + train, test = bm._train_test_periods(bm._period_panel(N_DONORS, N_YEARS, seed)) + Xtr = train[["total", "n", "recent"]].to_numpy() + Xte = test[["total", "n", "recent"]].to_numpy() + ytr, yte = train["y_response"].to_numpy(), test["y_response"].to_numpy() + model = PlannedGivingIntentScorer(random_state=seed).fit(Xtr, ytr) + score = model.predict_intent_score(Xte) + n_test.append(len(yte)) + for f in fracs: + rate, _ = bm._topn_rate(yte, score, f) + model_rates[f].append(rate) + random_rates[f].append(yte.mean()) + return { + "n_test": int(np.mean(n_test)), + "model": {str(f): float(np.mean(v)) for f, v in model_rates.items()}, + "random": {str(f): float(np.mean(v)) for f, v in random_rates.items()}, + } + + +# --------------------------------------------------------------------------- # +# $1K upgrade worked example: score_upgrade_prospects on a fixed seeded panel +# --------------------------------------------------------------------------- # +def upgrade_worked_example() -> Dict[str, Any]: + panel = make_donor_panel(n_donors=N_DONORS, n_years=N_YEARS, random_state=0) + with warnings.catch_warnings(): + warnings.simplefilter("ignore", UserWarning) + _, report = score_upgrade_prospects(panel["gifts"], random_state=0) + return { + "validation_fiscal_year": report["validation_fiscal_year"], + "n_validation_rows": report["n_validation_rows"], + "top_n": report["top_n"], + "model_upgrade_rate_top_n": report["model_upgrade_rate_top_n"], + "baseline_topn_fy_total_upgrade_rate": report["baseline_topn_fy_total_upgrade_rate"], + "overall_upgrade_rate": report["overall_upgrade_rate"], + "deciles": report["deciles"], + "n_scored": report["n_scored"], + } + + +def main() -> None: + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--with-kdd98", action="store_true", help="Also run the KDD Cup 1998 section (downloads ~36MB).") + args = parser.parse_args() + + results: Dict[str, Any] = {} + + # --- synthetic: response / major gift ----------------------------------- + resp_rows = bm.bench_response(SEEDS, N_DONORS, N_YEARS) + rand_resp = random_rate_response() * 100 + results["response_synthetic"] = { + f"top{p}pct": { + "model": _row(resp_rows, "MajorGiftClassifier", f"top{p}pct_hit_rate").value * 100, + "rule": _row(resp_rows, "MajorGiftClassifier", f"top{p}pct_hit_rate").baseline * 100, + "random": rand_resp, + } + for p in (1, 5, 10) + } + results["response_synthetic"]["verdict"] = _row(resp_rows, "MajorGiftClassifier", "top10pct_hit_rate").verdict + _bar_chart( + OUT_DIR / "response.png", + ["Top 1%", "Top 5%", "Top 10%"], + { + "Model": [results["response_synthetic"][f"top{p}pct"]["model"] for p in (1, 5, 10)], + "Rank by giving so far": [results["response_synthetic"][f"top{p}pct"]["rule"] for p in (1, 5, 10)], + "Random pick": [results["response_synthetic"][f"top{p}pct"]["random"] for p in (1, 5, 10)], + }, + {"Model": COLOR_MODEL, "Rank by giving so far": COLOR_RULE, "Random pick": COLOR_RANDOM}, + ylabel="Gave next year, out of every 100 picked (%)", + title="Who responds next year: model vs. rank-by-giving vs. random", + ) + + # --- synthetic: lapse ---------------------------------------------------- + lapse_rows = bm.bench_lapse(SEEDS, N_DONORS, N_YEARS) + rand_lapse = random_rate_lapse() * 100 + results["lapse_synthetic"] = { + f"top{p}pct": { + "model": _row(lapse_rows, "LapsePredictor", f"top{p}pct_hit_rate").value * 100, + "rule": _row(lapse_rows, "LapsePredictor", f"top{p}pct_hit_rate").baseline * 100, + "random": rand_lapse, + } + for p in (1, 5, 10) + } + results["lapse_synthetic"]["verdict"] = _row(lapse_rows, "LapsePredictor", "top10pct_hit_rate").verdict + + # --- synthetic: ask ------------------------------------------------- + ask_rows = bm.bench_ask(SEEDS, N_DONORS, N_YEARS) + within = _row(ask_rows, "AskAmountRecommender", "within25pct") + results["ask_synthetic"] = { + "within25pct_model": within.value * 100, + "within25pct_last_gift": within.baseline * 100, + "verdict": within.verdict, + } + + # --- synthetic: $1K upgrade (bench_upgrade) ------------------------------ + upgrade_rows = bm.bench_upgrade(SEEDS, N_DONORS, N_YEARS) + rand_upgrade = random_rate_upgrade() * 100 + results["upgrade_synthetic"] = { + f"top{p}pct": { + "model": _row(upgrade_rows, "upgrade_model (MajorGiftClassifier)", f"top{p}pct_hit_rate").value * 100, + "rule": _row(upgrade_rows, "upgrade_model (MajorGiftClassifier)", f"top{p}pct_hit_rate").baseline * 100, + "random": rand_upgrade, + } + for p in (1, 5, 10) + } + results["upgrade_synthetic"]["verdict"] = _row( + upgrade_rows, "upgrade_model (MajorGiftClassifier)", "top10pct_hit_rate" + ).verdict + _bar_chart( + OUT_DIR / "upgrade_topn.png", + ["Top 1%", "Top 5%", "Top 10%"], + { + "Model": [results["upgrade_synthetic"][f"top{p}pct"]["model"] for p in (1, 5, 10)], + "Rank by this year's total": [results["upgrade_synthetic"][f"top{p}pct"]["rule"] for p in (1, 5, 10)], + "Random pick": [results["upgrade_synthetic"][f"top{p}pct"]["random"] for p in (1, 5, 10)], + }, + {"Model": COLOR_MODEL, "Rank by this year's total": COLOR_RULE, "Random pick": COLOR_RANDOM}, + ylabel="Crossed $1,000 next year, out of every 100 picked (%)", + title="Who upgrades to $1,000+: model vs. rank-by-total vs. random", + ) + + # --- synthetic: planned giving (coverage vs. chance) --------------------- + pg = planned_giving_hit_rates() + results["planned_giving_synthetic"] = pg + _bar_chart( + OUT_DIR / "planned_giving.png", + ["Top 1%", "Top 5%", "Top 10%"], + { + "Model": [pg["model"][str(f)] * 100 for f in (0.01, 0.05, 0.10)], + "Random pick": [pg["random"][str(f)] * 100 for f in (0.01, 0.05, 0.10)], + }, + {"Model": COLOR_MODEL, "Random pick": COLOR_RANDOM}, + ylabel="Gave next year, out of every 100 picked (%)", + title="Planned-giving score vs. random (giving-response used as a stand-in label)", + ) + + # --- $1K upgrade worked example ------------------------------------------ + ex = upgrade_worked_example() + results["upgrade_worked_example"] = ex + deciles = ex["deciles"] + _bar_chart( + OUT_DIR / "upgrade_deciles.png", + [f"D{d['decile']}" for d in deciles], + {"Upgrade rate": [d["actual_rate"] * 100 if d["actual_rate"] is not None else 0.0 for d in deciles]}, + {"Upgrade rate": COLOR_MODEL}, + ylabel="Crossed $1,000 next year (%)", + title="Upgrade rate by decile (D1 = top 10% of picks, D10 = bottom 10%)", + ) + + # --- KDD98 (opt-in) -------------------------------------------------- + if args.with_kdd98: + seed = bm.KDD_SEED + kdd_resp = bm.bench_kdd_response(seed) + kdd_lapse = bm.bench_kdd_lapse(seed) + kdd_ask = bm.bench_kdd_ask(seed) + kdd_cost = bm.bench_kdd_cost_aware(seed) + + results["response_kdd98"] = { + f"top{p}pct": { + "model": _row(kdd_resp, "MajorGiftClassifier", f"top{p}pct_hit_rate").value * 100, + "rule": _row(kdd_resp, "MajorGiftClassifier", f"top{p}pct_hit_rate").baseline * 100, + } + for p in (1, 5, 10) + } + results["response_kdd98"]["verdict"] = _row(kdd_resp, "MajorGiftClassifier", "top10pct_hit_rate").verdict + + lapse_top = {p: _row(kdd_lapse, "LapsePredictor", f"top{p}pct_hit_rate") for p in (1, 5, 10)} + donors = bm.fetch_kdd98_donors() + base_rate_lapse_kdd = float((donors["TARGET_B"].to_numpy() == 0).mean()) * 100 + results["lapse_kdd98"] = { + "base_rate_pct": base_rate_lapse_kdd, + **{f"top{p}pct": {"model": r.value * 100, "rule": r.baseline * 100} for p, r in lapse_top.items()}, + } + _bar_chart( + OUT_DIR / "lapse_kdd98.png", + ["Top 1%", "Top 5%", "Top 10%"], + { + "Model": [results["lapse_kdd98"][f"top{p}pct"]["model"] for p in (1, 5, 10)], + "Gave nothing last time": [results["lapse_kdd98"][f"top{p}pct"]["rule"] for p in (1, 5, 10)], + "Random pick": [base_rate_lapse_kdd] * 3, + }, + {"Model": COLOR_MODEL, "Gave nothing last time": COLOR_RULE, "Random pick": COLOR_RANDOM}, + ylabel="Lapsed next period, out of every 100 picked (%)", + title="Who lapses next: KDD Cup 1998 (almost everyone lapses here)", + ) + + ask_row = _row(kdd_ask, "AskAmountRecommender", "within25pct") + results["ask_kdd98"] = { + "within25pct_model": ask_row.value * 100, + "within25pct_last_gift": ask_row.baseline * 100, + "verdict": ask_row.verdict, + } + _bar_chart( + OUT_DIR / "ask_kdd98.png", + ["Suggested ask"], + { + "Model": [results["ask_kdd98"]["within25pct_model"]], + "Ask what they gave last time": [results["ask_kdd98"]["within25pct_last_gift"]], + }, + {"Model": COLOR_MODEL, "Ask what they gave last time": COLOR_RULE}, + ylabel="Within 25% of what the donor actually gave (%)", + title="How close is the suggested ask: KDD Cup 1998", + ) + + net_row = _row(kdd_cost, "cost_aware_selection", "net_revenue") + results["who_to_mail_kdd98"] = { + "net_revenue_model": net_row.value, + "net_revenue_mail_everyone": net_row.baseline, + "verdict": net_row.verdict, + "note": net_row.note, + } + _bar_chart( + OUT_DIR / "who_to_mail.png", + ["Net revenue"], + { + "Only mail likely responders": [results["who_to_mail_kdd98"]["net_revenue_model"]], + "Mail everyone": [results["who_to_mail_kdd98"]["net_revenue_mail_everyone"]], + }, + {"Only mail likely responders": COLOR_MODEL, "Mail everyone": COLOR_RULE}, + ylabel="Net revenue after mailing cost ($)", + title="Who to mail: KDD Cup 1998", + ) + + with open(OUT_DIR / "results.json", "w") as fh: + json.dump(results, fh, indent=2) + print(f"Wrote {OUT_DIR / 'results.json'} and PNGs to {OUT_DIR}") + + +if __name__ == "__main__": + main() From 4bab82cd521cc08edc899045c63b6e446f5481bd Mon Sep 17 00:00:00 2001 From: Shivam Lalakiya <50960482+shivamlalakiya@users.noreply.github.com> Date: Fri, 25 Sep 2026 21:16:28 -0500 Subject: [PATCH 2/2] Tighten the Results pages wording Match the upgrade page's rule figure to its chart (18, not 17), say what the decile chart actually shows (only the model's top slice stands out), mark the planned-giving score as untested on real bequest data rather than as a win, and title the response page by the question it answers. --- docs/results/index.md | 4 ++-- docs/results/planned_giving.md | 5 +++-- docs/results/response.md | 2 +- docs/results/upgrade.md | 10 ++++++---- 4 files changed, 12 insertions(+), 9 deletions(-) diff --git a/docs/results/index.md b/docs/results/index.md index 354e823..bf37b10 100644 --- a/docs/results/index.md +++ b/docs/results/index.md @@ -8,10 +8,10 @@ these pages, see [Model Validation & Benchmarks](../explanation/benchmarks.md). | Model | Question it answers | Verdict | |---|---|---| | [$1K upgrade](upgrade.md) | Which mid-level donors are about to become $1,000+ donors? | Beats the simple rule | -| [Response / major gift](response.md) | Who is most likely to give again next year? | Does not beat the simple rule; use the rule instead | +| [Response](response.md) | Who is most likely to give again next year? | Does not beat the simple rule; use the rule instead | | [Lapse](lapse.md) | Which donors are about to stop giving? | About the same as the simple rule on our sample data; about the same as random on a real donor file | | [Suggested ask](ask.md) | How much should we ask a donor for? | Beats "ask what they gave last time" on our sample data; loses to it on a real donor file | -| [Planned giving](planned_giving.md) | Which donors look like bequest prospects? | Beats random picking (no simple rule exists yet to compare against) | +| [Planned giving](planned_giving.md) | Which donors look like bequest prospects? | Not yet tested on real bequest data | | [Who to mail](who_to_mail.md) | Is it worth mailing this donor at all? | Beats mailing everyone | ## How we tested each one diff --git a/docs/results/planned_giving.md b/docs/results/planned_giving.md index 3bab4d7..4277be3 100644 --- a/docs/results/planned_giving.md +++ b/docs/results/planned_giving.md @@ -13,8 +13,9 @@ random finds about 44 out of every 100. ![Model vs. random, top 1/5/10% of picks](../assets/results/planned_giving.png) -**Beats random picking.** Treat this as "the score separates donors better -than chance," not as a validated bequest-intent measurement. +**Not yet tested on real bequest data.** The score separates repeat donors +better than chance, but that is not the same as finding bequest prospects. +Treat it as unproven until it is checked against known planned gifts. ## Which data diff --git a/docs/results/response.md b/docs/results/response.md index 398c246..1e8e7db 100644 --- a/docs/results/response.md +++ b/docs/results/response.md @@ -1,4 +1,4 @@ -# Response / major gift +# Response (will they give again?) We pretended it was 30 June 2022: the model only saw gifts up to that date, then we checked which donors actually gave again in fiscal year 2023 (1 July diff --git a/docs/results/upgrade.md b/docs/results/upgrade.md index f6ce261..bcf60a8 100644 --- a/docs/results/upgrade.md +++ b/docs/results/upgrade.md @@ -2,11 +2,11 @@ We pretended it was 30 June 2021: the model only saw gifts up to that date, then we checked what mid-level donors actually did in fiscal year 2022 (1 July -2021 to 30 June 2022) — specifically, which of them crossed $1,000 for -the first time. +2021 to 30 June 2022), specifically which of them crossed $1,000 for the +first time. Of our top 10% of picks, 24 out of every 100 crossed $1,000. Ranking by this -year's giving total alone found 17 out of every 100. Picking at random finds +year's giving total alone found 18 out of every 100. Picking at random finds about 12 out of every 100. ![Model vs. rank-by-total vs. random, top 1/5/10% of picks](../assets/results/upgrade_topn.png) @@ -24,7 +24,9 @@ found 14. Picking 109 of them at random would find about 13. The chart below breaks the same validation fold into ten equal-sized groups by model score (D1 = the 10% the model liked most, D10 = the 10% it liked least), -so you can see the ranking is not just a top-vs-bottom effect: +and it shows where the gain comes from: the model's top 10% clearly stands +out, while the groups below it sit close to the overall rate of about 12 in +100. Use the model to pick your top slice, not to rank the whole file: ![Upgrade rate by decile](../assets/results/upgrade_deciles.png)

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