Analisi statica fatta per bene giustificando i vari passaggi

molla/compatibilita/comp1.ipynb

@@ -5,10 +5,10 @@
    "id": "ba4e56bc",
    "metadata": {},
    "source": [
-    "## Valori dinamici\n",
+    "## Valori statici (calibro)\n",
     "N = 10\n",
     "\n",
-    "A      = 23.96 +- 0.16 "
+    "A      = 23.97 +- 0.16 "
    ]
   },
   {
@@ -16,15 +16,26 @@
    "id": "aaf30c1f",
    "metadata": {},
    "source": [
-    "## Valori statici\n",
+    "## Valori statici (sonar)\n",
     "N = 6\n",
     "\n",
     "A      = 23.46 +- 0.23\n"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "7a851edb",
+   "metadata": {},
+   "source": [
+    "## Valori dinamici (sonar)\n",
+    "N = 4\n",
+    "\n",
+    "K nostro:  24.35 +- 0.25\n"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 10,
    "id": "b349ba73",
    "metadata": {},
    "outputs": [],
@@ -35,7 +46,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 11,
    "id": "a68eb302",
    "metadata": {},
    "outputs": [
@@ -43,18 +54,19 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "t = 1.717\n",
+      "t = 1.751\n",
-      "p-value (two-tailed) = 10.8084 %\n"
+      "p-value (two-tailed) = 10.1827 %\n"
      ]
     }
    ],
    "source": [
-    "# Valori dimanici (sonar)\n",
+    "# Valori statici (calibro)\n",
     "Nd = 10\n",
-    "Ad = 23.96\n",
+    "Ad = 23.97\n",
     "uAd = 0.16 * 3\n",
     "\n",
-    "#Valori statici (calibro)\n",
+    "\n",
+    "#Valori statici (sonar)\n",
     "Ns = 6\n",
     "As = 23.46\n",
     "uAs = 0.23 * 3\n",
@@ -73,6 +85,88 @@
     "print(f\"t = {t:.3f}\")\n",
     "print(f\"p-value (two-tailed) = {p_value * 100:.4f} %\")\n"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "2746d086",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "t = -1.147\n",
+      "p-value (two-tailed) = 27.3612 %\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Valori statici (calibro)\n",
+    "Nd = 10\n",
+    "Ad = 23.97\n",
+    "uAd = 0.16 * 3\n",
+    "\n",
+    "#Valori dinamici (sonar)\n",
+    "Ns = 4\n",
+    "As = 24.35\n",
+    "uAs = 0.25 * 3\n",
+    "\n",
+    "#Nomi coerenti con Cannelli\n",
+    "GdL = Nd + Ns - 2\n",
+    "\n",
+    "s2 = ( (Nd - 1) * uAd**2  +  (Ns - 1) * uAs**2 ) / GdL\n",
+    "\n",
+    "sigma2 = ( s2 / Nd )  + ( s2 / Ns )\n",
+    "\n",
+    "t = ( Ad - As ) / np.sqrt( sigma2 )\n",
+    "\n",
+    "\n",
+    "p_value = 2 * (1 - student_t.cdf(abs(t), df=GdL))\n",
+    "print(f\"t = {t:.3f}\")\n",
+    "print(f\"p-value (two-tailed) = {p_value * 100:.4f} %\")\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "be0c6cc6",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "t = -1.934\n",
+      "p-value (two-tailed) = 8.9234 %\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Valori statici (sonar)\n",
+    "Nd = 6\n",
+    "Ad = 23.46\n",
+    "uAd = 0.23 * 3\n",
+    "\n",
+    "#Valori dinamici (sonar)\n",
+    "Ns = 4\n",
+    "As = 24.35\n",
+    "uAs = 0.25 * 3\n",
+    "\n",
+    "#Nomi coerenti con Cannelli\n",
+    "GdL = Nd + Ns - 2\n",
+    "\n",
+    "s2 = ( (Nd - 1) * uAd**2  +  (Ns - 1) * uAs**2 ) / GdL\n",
+    "\n",
+    "sigma2 = ( s2 / Nd )  + ( s2 / Ns )\n",
+    "\n",
+    "t = ( Ad - As ) / np.sqrt( sigma2 )\n",
+    "\n",
+    "\n",
+    "p_value = 2 * (1 - student_t.cdf(abs(t), df=GdL))\n",
+    "print(f\"t = {t:.3f}\")\n",
+    "print(f\"p-value (two-tailed) = {p_value * 100:.4f} %\")\n"
+   ]
   }
  ],
  "metadata": {