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Update lab-hypothesis-testing.ipynb #204

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176 changes: 147 additions & 29 deletions lab-hypothesis-testing.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -38,7 +38,7 @@
},
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
Expand All @@ -57,21 +57,7 @@
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
"<div><div id=151c5387-9920-4c01-afd7-5688dbd37e71 style=\"display:none; background-color:#9D6CFF; color:white; width:200px; height:30px; padding-left:5px; border-radius:4px; flex-direction:row; justify-content:space-around; align-items:center;\" onmouseover=\"this.style.backgroundColor='#BA9BF8'\" onmouseout=\"this.style.backgroundColor='#9D6CFF'\" onclick=\"window.commands?.execute('create-mitosheet-from-dataframe-output');\">See Full Dataframe in Mito</div> <script> if (window.commands?.hasCommand('create-mitosheet-from-dataframe-output')) document.getElementById('151c5387-9920-4c01-afd7-5688dbd37e71').style.display = 'flex' </script> <table border=\"1\" class=\"dataframe\">\n",
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Expand Down Expand Up @@ -244,9 +230,7 @@
" <td>True</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>800 rows × 11 columns</p>\n",
"</div>"
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],
"text/plain": [
" Name Type 1 Type 2 HP Attack Defense Sp. Atk Sp. Def \\\n",
Expand Down Expand Up @@ -297,11 +281,39 @@
},
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 5,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Prueba t de Student (unilateral):\n",
"t-stat = 3.590444254130357, p-value (unilateral) = 0.00025679691501534816\n",
"\n",
"Conclusión: Rechazamos la hipótesis nula. Los Pokémon de tipo Dragon tienen, en promedio, más HP que los de tipo Grass.\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import ttest_ind\n",
"\n",
"# Prueba t de Student (sin especificar 'alternative')\n",
"t_stat, p_value_two_tailed = ttest_ind(dragon_hp, grass_hp, equal_var=True)\n",
"\n",
"# Ajustar el p-valor para una prueba unilateral\n",
"p_value_one_tailed = p_value_two_tailed / 2 if t_stat > 0 else 1.0\n",
"\n",
"print(\"\\nPrueba t de Student (unilateral):\")\n",
"print(f\"t-stat = {t_stat}, p-value (unilateral) = {p_value_one_tailed}\")\n",
"\n",
"# Interpretación de resultados\n",
"alpha = 0.05\n",
"if p_value_one_tailed < alpha:\n",
" print(\"\\nConclusión: Rechazamos la hipótesis nula. Los Pokémon de tipo Dragon tienen, en promedio, más HP que los de tipo Grass.\")\n",
"else:\n",
" print(\"\\nConclusión: No hay suficiente evidencia para rechazar la hipótesis nula. No podemos afirmar que los Pokémon de tipo Dragon tienen más HP que los de tipo Grass.\")\n"
]
},
{
Expand All @@ -313,11 +325,89 @@
},
{
"cell_type": "code",
"execution_count": 18,
"execution_count": 6,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Analizando HP:\n",
"Prueba de normalidad - Legendary: p=0.008644964545965195, Non-Legendary: p=6.934747223262693e-22\n",
"Prueba de homogeneidad de varianzas: p=0.5758428070138398\n",
"Prueba t: t-stat=8.036124405043928, p-value=3.330647684846191e-15\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en HP entre Pokémon Legendarios y No Legendarios.\n",
"\n",
"Analizando Attack:\n",
"Prueba de normalidad - Legendary: p=0.03771796450018883, Non-Legendary: p=3.1845864612023433e-08\n",
"Prueba de homogeneidad de varianzas: p=0.9944645877795636\n",
"Prueba t: t-stat=10.397321023700622, p-value=7.827253003205333e-24\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en Attack entre Pokémon Legendarios y No Legendarios.\n",
"\n",
"Analizando Defense:\n",
"Prueba de normalidad - Legendary: p=0.0043097008019685745, Non-Legendary: p=1.892132637823198e-18\n",
"Prueba de homogeneidad de varianzas: p=0.3203429011757649\n",
"Prueba t: t-stat=7.181240122992339, p-value=1.5842226094427259e-12\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en Defense entre Pokémon Legendarios y No Legendarios.\n",
"\n",
"Analizando Sp. Atk:\n",
"Prueba de normalidad - Legendary: p=0.6240566372871399, Non-Legendary: p=1.0735815882123578e-11\n",
"Prueba de homogeneidad de varianzas: p=0.37014131900583735\n",
"Prueba t: t-stat=14.191406210846289, p-value=6.314915770427266e-41\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en Sp. Atk entre Pokémon Legendarios y No Legendarios.\n",
"\n",
"Analizando Sp. Def:\n",
"Prueba de normalidad - Legendary: p=0.00823843665421009, Non-Legendary: p=8.440728584829804e-13\n",
"Prueba de homogeneidad de varianzas: p=0.7764108095205825\n",
"Prueba t: t-stat=11.037751061205222, p-value=1.8439809580409333e-26\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en Sp. Def entre Pokémon Legendarios y No Legendarios.\n",
"\n",
"Analizando Speed:\n",
"Prueba de normalidad - Legendary: p=0.0022167644929140806, Non-Legendary: p=2.4617634153401013e-07\n",
"Prueba de homogeneidad de varianzas: p=0.0017862391470896439\n",
"Prueba t: t-stat=11.47504444631443, p-value=1.0490163118824507e-18\n",
"Conclusión: Rechazamos H0. Hay diferencias significativas en Speed entre Pokémon Legendarios y No Legendarios.\n"
]
}
],
"source": [
"#code here"
"#code here\n",
"from scipy.stats import ttest_ind, shapiro, levene\n",
"\n",
"# Seleccionar columnas relevantes\n",
"stats = ['HP', 'Attack', 'Defense', 'Sp. Atk', 'Sp. Def', 'Speed']\n",
"\n",
"# Separar datos por legendarios y no legendarios\n",
"legendary = df[df['Legendary'] == True]\n",
"non_legendary = df[df['Legendary'] == False]\n",
"\n",
"# Iterar sobre cada estadística\n",
"for stat in stats:\n",
" print(f\"\\nAnalizando {stat}:\")\n",
"\n",
" # Datos de cada grupo\n",
" legendary_stat = legendary[stat]\n",
" non_legendary_stat = non_legendary[stat]\n",
"\n",
" # Prueba de normalidad\n",
" normal_legendary = shapiro(legendary_stat)\n",
" normal_non_legendary = shapiro(non_legendary_stat)\n",
" print(f\"Prueba de normalidad - Legendary: p={normal_legendary.pvalue}, Non-Legendary: p={normal_non_legendary.pvalue}\")\n",
"\n",
" # Prueba de homogeneidad de varianzas\n",
" var_test = levene(legendary_stat, non_legendary_stat)\n",
" print(f\"Prueba de homogeneidad de varianzas: p={var_test.pvalue}\")\n",
"\n",
" # Prueba t de Student\n",
" t_stat, p_value = ttest_ind(legendary_stat, non_legendary_stat, equal_var=(var_test.pvalue > 0.05))\n",
" print(f\"Prueba t: t-stat={t_stat}, p-value={p_value}\")\n",
"\n",
" # Conclusión\n",
" if p_value < 0.05:\n",
" print(f\"Conclusión: Rechazamos H0. Hay diferencias significativas en {stat} entre Pokémon Legendarios y No Legendarios.\")\n",
" else:\n",
" print(f\"Conclusión: No hay evidencia suficiente para rechazar H0. No hay diferencias significativas en {stat} entre Pokémon Legendarios y No Legendarios.\")\n"
]
},
{
Expand Down Expand Up @@ -483,10 +573,38 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Prueba t de Student:\n",
"t-stat = -2.2146147257665834, p-value (unilateral) = 1.0\n",
"\n",
"Conclusión: No hay suficiente evidencia para rechazar H0. No podemos afirmar que las casas cercanas a una escuela o un hospital son más caras.\n"
]
}
],
"source": [
"# Prueba t de Student (sin 'alternative')\n",
"t_stat, p_value_two_tailed = ttest_ind(close_prices, far_prices, equal_var=True)\n",
"\n",
"# Ajustar el p-valor para una prueba unilateral\n",
"p_value_one_tailed = p_value_two_tailed / 2 if t_stat > 0 else 1.0\n",
"\n",
"# Resultados\n",
"print(\"Prueba t de Student:\")\n",
"print(f\"t-stat = {t_stat}, p-value (unilateral) = {p_value_one_tailed}\")\n",
"\n",
"# Interpretación\n",
"alpha = 0.05\n",
"if p_value_one_tailed < alpha:\n",
" print(\"\\nConclusión: Rechazamos H0. Las casas cercanas a una escuela o un hospital son significativamente más caras.\")\n",
"else:\n",
" print(\"\\nConclusión: No hay suficiente evidencia para rechazar H0. No podemos afirmar que las casas cercanas a una escuela o un hospital son más caras.\")\n"
]
},
{
"cell_type": "code",
Expand All @@ -512,7 +630,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
"version": "3.7.9"
}
},
"nbformat": 4,
Expand Down