diff --git a/your-code/main.ipynb b/your-code/main.ipynb
index cdc1acb..bde4abc 100644
--- a/your-code/main.ipynb
+++ b/your-code/main.ipynb
@@ -14,12 +14,14 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 70,
"metadata": {},
"outputs": [],
"source": [
"# import numpy and pandas\n",
- "\n"
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "from scipy.stats import ttest_ind\n"
]
},
{
@@ -35,7 +37,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 71,
"metadata": {},
"outputs": [],
"source": [
@@ -53,11 +55,153 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
+ "execution_count": 72,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " # | \n",
+ " Name | \n",
+ " Type 1 | \n",
+ " Type 2 | \n",
+ " Total | \n",
+ " HP | \n",
+ " Attack | \n",
+ " Defense | \n",
+ " Sp. Atk | \n",
+ " Sp. Def | \n",
+ " Speed | \n",
+ " Generation | \n",
+ " Legendary | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 1 | \n",
+ " Bulbasaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 318 | \n",
+ " 45 | \n",
+ " 49 | \n",
+ " 49 | \n",
+ " 65 | \n",
+ " 65 | \n",
+ " 45 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 2 | \n",
+ " Ivysaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 405 | \n",
+ " 60 | \n",
+ " 62 | \n",
+ " 63 | \n",
+ " 80 | \n",
+ " 80 | \n",
+ " 60 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 3 | \n",
+ " Venusaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 525 | \n",
+ " 80 | \n",
+ " 82 | \n",
+ " 83 | \n",
+ " 100 | \n",
+ " 100 | \n",
+ " 80 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " 3 | \n",
+ " VenusaurMega Venusaur | \n",
+ " Grass | \n",
+ " Poison | \n",
+ " 625 | \n",
+ " 80 | \n",
+ " 100 | \n",
+ " 123 | \n",
+ " 122 | \n",
+ " 120 | \n",
+ " 80 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " 4 | \n",
+ " Charmander | \n",
+ " Fire | \n",
+ " NaN | \n",
+ " 309 | \n",
+ " 39 | \n",
+ " 52 | \n",
+ " 43 | \n",
+ " 60 | \n",
+ " 50 | \n",
+ " 65 | \n",
+ " 1 | \n",
+ " False | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = np.linspace(-5, 5, 1000) \n",
+ "y = t.pdf(x, df) \n",
+ "\n",
+ "plt.figure(figsize=(10, 6))\n",
+ "plt.plot(x, y, label=\"t-Distribution\", color=\"blue\")\n",
+ "plt.fill_between(x, y, where=(x > critical_value), color=\"red\", alpha=0.3, label=\"Rejection Region\")\n",
+ "plt.axvline(t_stat, color='green', linestyle='--', label=f\"Test Statistic (t) = {t_stat:.2f}\")\n",
+ "plt.axvline(critical_value, color='orange', linestyle='--', label=f\"Critical Value (t) = {critical_value:.2f}\")\n",
+ "plt.title(\"Right-Tailed T-Test Visualization\")\n",
+ "plt.xlabel(\"t-Statistic\")\n",
+ "plt.ylabel(\"Density\")\n",
+ "plt.legend()\n",
+ "\n",
+ "\n",
+ "plt.grid(True)\n",
+ "plt.show()"
]
},
{
@@ -123,12 +411,13 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
- "# Your conclusions here:\n",
- "\n"
+ "# the t-test two side statitics show that the legendary and non-legendary have diferent average total points. \n",
+ "# the p-value is smaller than the alpha so we reject the null hypothesis\n",
+ "# the t-test falls into a critical zone (right tail) "
]
},
{
@@ -140,12 +429,42 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
- "\n"
+ "execution_count": 79,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Type 1\n",
+ "Water 112\n",
+ "Normal 98\n",
+ "Grass 70\n",
+ "Bug 69\n",
+ "Psychic 57\n",
+ "Fire 52\n",
+ "Rock 44\n",
+ "Electric 44\n",
+ "Ground 32\n",
+ "Ghost 32\n",
+ "Dragon 32\n",
+ "Dark 31\n",
+ "Poison 28\n",
+ "Fighting 27\n",
+ "Steel 27\n",
+ "Ice 24\n",
+ "Fairy 17\n",
+ "Flying 4\n",
+ "Name: count, dtype: int64"
+ ]
+ },
+ "execution_count": 79,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "type_counts = pokemon['Type 1'].value_counts()\n",
+ "type_counts\n"
]
},
{
@@ -157,11 +476,41 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
+ "execution_count": 80,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Water Pokémon:\n",
+ "Mean Total Points: 430.45535714285717\n",
+ "Standard Deviation: 113.1882660643146\n",
+ "\n",
+ "Non-Water Pokémon:\n",
+ "Mean Total Points: 435.85901162790697\n",
+ "Standard Deviation: 121.0916823020807\n"
+ ]
+ }
+ ],
+ "source": [
+ "water_pokemon = pokemon[pokemon['Type 1'] == 'Water']\n",
+ "non_water_pokemon = pokemon[pokemon['Type 1'] != 'Water']\n",
+ "\n",
+ "water_mean = water_pokemon['Total'].mean()\n",
+ "water_std = water_pokemon['Total'].std()\n",
+ "\n",
+ "non_water_mean = non_water_pokemon['Total'].mean()\n",
+ "non_water_std = non_water_pokemon['Total'].std()\n",
+ "\n",
+ "print(\"Water Pokémon:\")\n",
+ "print(f\"Mean Total Points: {water_mean}\")\n",
+ "print(f\"Standard Deviation: {water_std}\")\n",
+ "\n",
+ "print(\"\\nNon-Water Pokémon:\")\n",
+ "print(f\"Mean Total Points: {non_water_mean}\")\n",
+ "print(f\"Standard Deviation: {non_water_std}\")\n",
+ "\n",
"\n"
]
},
@@ -174,12 +523,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
+ "execution_count": 81,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Two-Sample T-Test (Equal Variance):\n",
+ "Test Statistic (t): -0.44\n",
+ "P-Value: 0.6587\n",
+ "Fail to Reject the Null Hypothesis: There is no significant difference between water and non-water Pokémon total points.\n"
+ ]
+ }
+ ],
"source": [
- "# Your code here:\n",
- "\n"
+ "\n",
+ "t_stat_water, p_value_water = ttest_ind(water_pokemon['Total'], non_water_pokemon['Total'], equal_var=True)\n",
+ "\n",
+ "print(\"\\nTwo-Sample T-Test (Equal Variance):\")\n",
+ "print(f\"Test Statistic (t): {t_stat_water:.2f}\")\n",
+ "print(f\"P-Value: {p_value_water:.4f}\")\n",
+ "\n",
+ "if p_value_water < alpha:\n",
+ " print(\"Reject the Null Hypothesis: There is a significant difference between water and non-water Pokémon total points.\")\n",
+ "else:\n",
+ " print(\"Fail to Reject the Null Hypothesis: There is no significant difference between water and non-water Pokémon total points.\")"
]
},
{
@@ -191,11 +561,12 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
- "# Your conclusions here:\n",
+ "# p-value is grather of alpha so we fail to reject the null hypothesis.\n",
+ "\n",
"\n"
]
},
@@ -210,11 +581,34 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
+ "execution_count": 83,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Paired T-Test (Defense vs Attack):\n",
+ "Test Statistic (t): -4.33\n",
+ "P-Value: 0.0000\n",
+ "Reject the Null Hypothesis: There is a significant difference between defense and attack scores.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from scipy.stats import ttest_rel\n",
+ "\n",
+ "t_stat_defense_attack, p_value_defense_attack = ttest_rel(pokemon['Defense'], pokemon['Attack'])\n",
+ "\n",
+ "print(\"\\nPaired T-Test (Defense vs Attack):\")\n",
+ "print(f\"Test Statistic (t): {t_stat_defense_attack:.2f}\")\n",
+ "print(f\"P-Value: {p_value_defense_attack:.4f}\")\n",
+ "\n",
+ "if p_value_defense_attack < alpha:\n",
+ " print(\"Reject the Null Hypothesis: There is a significant difference between defense and attack scores.\")\n",
+ "else:\n",
+ " print(\"Fail to Reject the Null Hypothesis: There is no significant difference between defense and attack scores.\")\n",
"\n"
]
},
@@ -231,8 +625,7 @@
"metadata": {},
"outputs": [],
"source": [
- "# Your conclusions here:\n",
- "\n"
+ "# We reject the null hypothesis since th p-value is smallar than the alpha (falls into a left tail)"
]
},
{
@@ -244,11 +637,33 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
+ "execution_count": 85,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Paired T-Test (Special Defense vs Special Attack):\n",
+ "Test Statistic (t): -0.85\n",
+ "P-Value: 0.3934\n",
+ "Fail to Reject the Null Hypothesis: There is no significant difference between special defense and special attack.\n"
+ ]
+ }
+ ],
+ "source": [
+ "t_stat_sp_defense_attack, p_value_sp_defense_attack = ttest_rel(pokemon['Sp. Def'], pokemon['Sp. Atk'])\n",
+ "\n",
+ "print(\"\\nPaired T-Test (Special Defense vs Special Attack):\")\n",
+ "print(f\"Test Statistic (t): {t_stat_sp_defense_attack:.2f}\")\n",
+ "print(f\"P-Value: {p_value_sp_defense_attack:.4f}\")\n",
+ "\n",
+ "if p_value_sp_defense_attack < alpha:\n",
+ " print(\"Reject the Null Hypothesis: There is a significant difference between special defense and special attack.\")\n",
+ "else:\n",
+ " print(\"Fail to Reject the Null Hypothesis: There is no significant difference between special defense and special attack.\")\n",
+ "\n",
"\n"
]
},
@@ -261,7 +676,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 86,
"metadata": {},
"outputs": [],
"source": [
@@ -280,11 +695,37 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Your code here:\n",
+ "execution_count": 87,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "One-Sample T-Test (Difference between Defense and Attack):\n",
+ "Test Statistic (t): -4.33\n",
+ "P-Value: 0.0000\n",
+ "Reject the Null Hypothesis: The difference between defense and attack is significantly different from zero.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from scipy.stats import ttest_1samp\n",
+ "\n",
+ "difference_defense_attack = pokemon['Defense'] - pokemon['Attack']\n",
+ "\n",
+ "t_stat_diff, p_value_diff = ttest_1samp(difference_defense_attack, 0)\n",
+ "\n",
+ "print(\"\\nOne-Sample T-Test (Difference between Defense and Attack):\")\n",
+ "print(f\"Test Statistic (t): {t_stat_diff:.2f}\")\n",
+ "print(f\"P-Value: {p_value_diff:.4f}\")\n",
+ "\n",
+ "if p_value_diff < alpha:\n",
+ " print(\"Reject the Null Hypothesis: The difference between defense and attack is significantly different from zero.\")\n",
+ "else:\n",
+ " print(\"Fail to Reject the Null Hypothesis: The difference between defense and attack is not significantly different from zero.\")\n",
+ "\n",
" \n",
" "
]
@@ -304,10 +745,78 @@
"cell_type": "code",
"execution_count": null,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Contingency Table:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | Type 1 | \n",
+ " False | \n",
+ " True | \n",
+ "
\n",
+ " \n",
+ " | Legendary | \n",
+ " | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | False | \n",
+ " 627 | \n",
+ " 108 | \n",
+ "
\n",
+ " \n",
+ " | True | \n",
+ " 61 | \n",
+ " 4 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "