1. 研究说明

本报告基于 eBay 香水交易数据集开展量化分析。

(1)研究背景与目标

依托eBay平台男女香水交易数据,聚焦「香水价格影响因素」核心问题,量化分析性别、香水浓度、销量及品牌与定价的关联,为市场定价逻辑研究及品牌策略优化提供数据支撑。

(2)研究设计

变量设定

- 因变量:香水交易价格(Price);
- 核心自变量:性别(Gender)、香水浓度类型(Type)、销量(Sold);
- 关键调节变量:品牌(Brand),提升模型解释力。

分析框架
遵循「数据预处理→探索性分析→统计检验→多元回归建模」

流程:

  • 预处理:优化数据质量,标准化分类变量;
  • 探索性分析:通过描述统计与可视化洞察变量特征;
  • 统计检验:独立样本T检验验证性别对价格的分组差异;
  • 回归建模:构建「无品牌vs有品牌」对照模型,对比变量影响权重。

2.数据读取与查看

men <- read.csv("archive/ebay_mens_perfume.csv")
women <- read.csv("archive/ebay_womens_perfume.csv")
men$gender <- "Male"
women$gender <- "Female"
df <- rbind(men, women)
cat("Raw Data:", nrow(df), "row ×", ncol(df), "col\n")
## Raw Data: 2000 row × 11 col
head(df)
##             brand
## 1            Dior
## 2         AS SHOW
## 3       Unbranded
## 4  Giorgio Armani
## 5         Lattafa
## 6 Multiple Brands
##                                                                              title
## 1                          Christian Dior Sauvage Men's EDP 3.4 oz Fragrance Spray
## 2   A-v-entus Eau de Parfum 3.3 oz 100ML Millesime EDP Col-ogne for Men New In Box
## 3                                                 HOGO BOSS cologne For Men 3.4 oz
## 4 Acqua Di Gio by Giorgio Armani 6.7 Fl oz Eau De Toilette Spray Men' New & Sealed
## 5        Lattafa Men's Hayaati Al Maleky EDP Spray 3.4 oz Fragrances 6291108734056
## 6      Men's Perfume Sampler 10pcs Sample Vials Designer Fragrance Samples for Men
##              type  price priceWithCurrency available
## 1   Eau de Parfum  84.99      US $84.99/ea        10
## 2   Eau de Parfum 109.99        US $109.99         8
## 3 Eau de Toilette 100.00        US $100.00        10
## 4 Eau de Toilette  44.99      US $44.99/ea         2
## 5      Fragrances  16.91         US $16.91        NA
## 6         Perfume  14.99         US $14.99        10
##                           availableText sold               lastUpdated
## 1     More than 10 available / 116 sold  116 May 24, 2024 10:03:04 PDT
## 2                 8 available / 48 sold   48 May 23, 2024 23:07:49 PDT
## 3      More than 10 available / 27 sold   27 May 22, 2024 21:55:43 PDT
## 4                2 available / 159 sold  159 May 24, 2024 03:30:43 PDT
## 5 Limited quantity available / 156 sold  156 May 24, 2024 07:56:25 PDT
## 6      More than 10 available / 79 sold   79 May 23, 2024 06:57:41 PDT
##                             itemLocation gender
## 1    Allen Park, Michigan, United States   Male
## 2               Atlanta, Georgia, Canada   Male
## 3      Dearborn, Michigan, United States   Male
## 4 Reinholds, Pennsylvania, United States   Male
## 5      Brooklyn, New York, United States   Male
## 6          Houston, Texas, United States   Male
#缺失情况统计
missing_table <- data.frame(
   Variable = names(df),
   Missing = colSums(is.na(df)),
   Missing_Rate = round(colSums(is.na(df)) / nrow(df), 3)
)
knitr::kable(missing_table, 
             caption = "Missing Value Summary",
             row.names = FALSE)
Missing Value Summary
Variable Missing Missing_Rate
brand 0 0.000
title 0 0.000
type 0 0.000
price 0 0.000
priceWithCurrency 0 0.000
available 242 0.121
availableText 0 0.000
sold 22 0.011
lastUpdated 0 0.000
itemLocation 0 0.000
gender 0 0.000
#运行结果表明原始数据存在缺失值,数据质量不达标,必须进行缺失填充与清洗才能保证后续分析有效。

3.数据清洗

df <- df %>% distinct()
# 去除重复样本,避免统计偏差
df <- df %>% filter(price > 0, !is.na(price))
# 过滤无效、异常价格数据
df <- df %>% filter(price < quantile(price, 0.99, na.rm = TRUE))
# 缩尾(99分位)处理,提高数据分析稳健性 防止极端值拉高均值、干扰图表和回归


if ("sold" %in% colnames(df)) {
  df$sold[is.na(df$sold)] <- 0
}
# 结合业务逻辑,销量缺失统一填充为0

if ("type" %in% colnames(df)) {
  df <- df %>%
    mutate(
      type = case_when(
        str_detect(type, fixed("Eau de Parfum", ignore_case=TRUE)) ~ "EDP",
        str_detect(type, fixed("Eau de Toilette", ignore_case=TRUE)) ~ "EDT",
        str_detect(type, fixed("Parfum", ignore_case=TRUE)) ~ "Parfum",
        TRUE ~ "Other"
      )
    )
}
#完成统一杂乱品类文本,标准化为四类,便于分组对比与回归分析
#(Par浓香精, EDP淡香精,EDT淡香水)
df$gender <- as.factor(df$gender)
if("type" %in% colnames(df)) df$type <- as.factor(df$type)
#R 做 T 检验、箱线图、回归时,必须是因子格式才能正确分组 把 gender(男女)、type(香水类型)转为分类变量 满足统计建模格式要求
cat("Cleaned Data:", nrow(df), "row ×", ncol(df), "col\n")
## Cleaned Data: 1979 row × 11 col
# 清洗后有多少行列
colSums(is.na(df))
##             brand             title              type             price 
##                 0                 0                 0                 0 
## priceWithCurrency         available     availableText              sold 
##                 0               234                 0                 0 
##       lastUpdated      itemLocation            gender 
##                 0                 0                 0
#检查清洗是否干净、是否还有漏洞 每一列还有多少缺失值
#通过去重、异常值压缩、缺失值填充、品类标准化等治理流程,数据集质量显著提升,为后续可视化探索与计量建模提供规范可靠的数据支撑。

4. 描述性统计

summary(df)
##     brand              title               type         price       
##  Length:1979        Length:1979        EDP   :881   Min.   :  1.99  
##  Class :character   Class :character   EDT   :653   1st Qu.: 21.93  
##  Mode  :character   Mode  :character   Other :405   Median : 33.95  
##                                        Parfum: 40   Mean   : 41.45  
##                                                     3rd Qu.: 52.87  
##                                                     Max.   :166.18  
##                                                                     
##  priceWithCurrency    available      availableText           sold        
##  Length:1979        Min.   :  2.00   Length:1979        Min.   :    0.0  
##  Class :character   1st Qu.:  5.00   Class :character   1st Qu.:   14.0  
##  Mode  :character   Median : 10.00   Mode  :character   Median :   50.0  
##                     Mean   : 20.83                      Mean   :  631.4  
##                     3rd Qu.: 10.00                      3rd Qu.:  281.5  
##                     Max.   :842.00                      Max.   :54052.0  
##                     NA's   :234                                          
##  lastUpdated        itemLocation          gender   
##  Length:1979        Length:1979        Female:994  
##  Class :character   Class :character   Male  :985  
##  Mode  :character   Mode  :character               
##                                                    
##                                                    
##                                                    
## 
#香水市场呈现出明显的差异化特征:
#价格跨度大,存在高端高价产品,整体呈右偏分布;
#销量两极分化严重,少数爆款拉高了整体销量均值;
#香水类型以 EDP 和 EDT 为主,高浓度 Parfum 样本较少;
#男女香水样本数量均衡,为后续分组对比分析提供了良好的基础。
# 标准差
sapply(df[, c("price", "sold")], sd)
##      price       sold 
##   27.50652 2469.62428
#销量的标准差高达 2469.6,说明销量差异极其悬殊,少数爆款和大部分冷门商品差距巨大。
# 结构
str(df)
## 'data.frame':    1979 obs. of  11 variables:
##  $ brand            : chr  "Dior" "AS SHOW" "Unbranded" "Giorgio Armani" ...
##  $ title            : chr  "Christian Dior Sauvage Men's EDP 3.4 oz Fragrance Spray" "A-v-entus Eau de Parfum 3.3 oz 100ML Millesime EDP Col-ogne for Men New In Box" "HOGO BOSS cologne For Men 3.4 oz" "Acqua Di Gio by Giorgio Armani 6.7 Fl oz Eau De Toilette Spray Men' New & Sealed" ...
##  $ type             : Factor w/ 4 levels "EDP","EDT","Other",..: 1 1 2 2 3 3 1 1 3 1 ...
##  $ price            : num  85 110 100 45 16.9 ...
##  $ priceWithCurrency: chr  "US $84.99/ea" "US $109.99" "US $100.00" "US $44.99/ea" ...
##  $ available        : int  10 8 10 2 NA 10 9 NA 10 8 ...
##  $ availableText    : chr  "More than 10 available / 116 sold" "8 available / 48 sold" "More than 10 available / 27 sold" "2 available / 159 sold" ...
##  $ sold             : num  116 48 27 159 156 79 39 6 17 68 ...
##  $ lastUpdated      : chr  "May 24, 2024 10:03:04 PDT" "May 23, 2024 23:07:49 PDT" "May 22, 2024 21:55:43 PDT" "May 24, 2024 03:30:43 PDT" ...
##  $ itemLocation     : chr  "Allen Park, Michigan, United States" "Atlanta, Georgia, Canada" "Dearborn, Michigan, United States" "Reinholds, Pennsylvania, United States" ...
##  $ gender           : Factor w/ 2 levels "Female","Male": 2 2 2 2 2 2 2 2 2 2 ...
#str() 确认了每个变量的类型,如性别、香水类型被成功转为了因子型,为后续画图和建模做好了准备。
# 描述统计结果显示,香水价格与销量分布差异明显,
#产品定价跨度大、销量分布不均衡,充分体现香水消费市场的差异化特征。

5.相关性分析

cor_data <- df[, c("price", "sold")]
cor(cor_data, use = "complete.obs")
##             price        sold
## price  1.00000000 -0.09246626
## sold  -0.09246626  1.00000000
#计算结果显示,二者相关系数趋近于 0,呈现微弱负相关,线性相关程度极低。说明在香水消费市场中,商品定价高低并不会明显左右销量表现,消费者购买香水并非单纯依据价格决策,价格弹性弱。这也侧面说明,除基础价格外,品牌、香型、产品定位等因素对香水市场的影响更大,因此后续回归模型需要纳入更多非价格变量,才能合理解释香水价格差异。

6. 可视化分析

7.回归(stargazer)

## 
##  Welch Two Sample t-test
## 
## data:  price by gender
## t = -4.3632, df = 1887.2, p-value = 1.351e-05
## alternative hypothesis: true difference in means between group Female and group Male is not equal to 0
## 95 percent confidence interval:
##  -7.793061 -2.959778
## sample estimates:
## mean in group Female   mean in group Male 
##             38.77364             44.15006
## 
## Call:
## lm(formula = price ~ gender + type + sold, data = df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -49.174 -17.719  -5.678  11.376 120.042 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  4.369e+01  9.970e-01  43.816  < 2e-16 ***
## genderMale   8.492e+00  1.268e+00   6.698 2.74e-11 ***
## typeEDT     -1.065e+01  1.465e+00  -7.268 5.23e-13 ***
## typeOther   -1.220e+01  1.619e+00  -7.538 7.25e-14 ***
## typeParfum   5.450e+00  4.341e+00   1.255 0.209470    
## sold        -8.905e-04  2.457e-04  -3.625 0.000297 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 26.69 on 1973 degrees of freedom
## Multiple R-squared:  0.06066,    Adjusted R-squared:  0.05828 
## F-statistic: 25.48 on 5 and 1973 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = price ~ gender + type + sold + brand, data = df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -85.408  -8.628   0.000   6.113 127.179 
## 
## Coefficients:
##                                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                       4.183e+01  1.563e+01   2.677 0.007514 ** 
## genderMale                        7.653e+00  1.447e+00   5.290 1.40e-07 ***
## typeEDT                          -1.062e+01  1.551e+00  -6.850 1.06e-11 ***
## typeOther                        -6.160e+00  1.913e+00  -3.220 0.001306 ** 
## typeParfum                       -6.575e+00  4.246e+00  -1.548 0.121747    
## sold                             -2.777e-07  2.268e-04  -0.001 0.999023    
## brand~ CREPE ERASE ~             -5.679e+00  2.702e+01  -0.210 0.833574    
## brand~ DOLCE & GABBANA ~          5.508e+00  2.702e+01   0.204 0.838516    
## brand2nd To None                 -3.667e+01  2.729e+01  -1.343 0.179308    
## brandAbercrombie & Fitch         -1.411e+00  1.678e+01  -0.084 0.933003    
## brandAcqua Di Gio                -2.287e+01  2.704e+01  -0.846 0.397855    
## brandAcqua di Parma               7.465e+00  1.910e+01   0.391 0.696057    
## brandAdam Levine                 -3.184e+01  2.702e+01  -1.179 0.238770    
## brandadidas                      -2.728e+01  2.704e+01  -1.009 0.313239    
## brandAERIN                       -3.188e+01  2.207e+01  -1.445 0.148733    
## brandAeropostale                 -1.543e+01  2.701e+01  -0.571 0.567998    
## brandAfnan                       -1.692e+01  1.654e+01  -1.023 0.306567    
## brandAinash Perfums               2.325e+01  2.734e+01   0.850 0.395390    
## brandal hambra                   -1.584e+01  2.702e+01  -0.586 0.557774    
## brandAl Haramain                 -8.357e+00  1.844e+01  -0.453 0.650520    
## brandAl Rehab                    -2.923e+01  2.012e+01  -1.452 0.146619    
## brandAl Wataniah                 -5.671e+00  1.911e+01  -0.297 0.766734    
## brandAl-Rehab                    -2.642e+01  2.702e+01  -0.978 0.328377    
## brandaladdin                     -1.433e+01  2.702e+01  -0.530 0.595867    
## brandAlexandria Fragrances       -4.648e+01  2.702e+01  -1.720 0.085605 .  
## brandAlfred Sung                 -1.522e+01  2.703e+01  -0.563 0.573491    
## brandALFRED SUNG                 -1.602e+01  1.915e+01  -0.836 0.403022    
## brandAllsaints                   -1.492e+00  2.702e+01  -0.055 0.955971    
## brandALT Fragrances               1.924e+01  2.247e+01   0.856 0.391941    
## brandAmouage                      1.167e+02  2.702e+01   4.319 1.67e-05 ***
## brandAnna Sui                     1.770e+01  2.207e+01   0.802 0.422644    
## brandAquolina                    -1.739e+01  2.207e+01  -0.788 0.430836    
## brandArabian Oud                  5.631e+01  2.702e+01   2.084 0.037309 *  
## brandAramis                      -1.836e+01  2.209e+01  -0.831 0.406186    
## brandArd Al Zaafaran             -2.547e+01  2.702e+01  -0.943 0.345934    
## brandAriana Grande               -9.676e+00  1.623e+01  -0.596 0.551127    
## brandArmaf                       -5.579e+00  1.597e+01  -0.349 0.726856    
## brandArmand Dupree Fuller        -2.679e+00  2.702e+01  -0.099 0.921047    
## brandAS  SHOWN                   -2.242e-01  2.706e+01  -0.008 0.993391    
## brandAS PHOTOS                   -4.177e+00  2.704e+01  -0.154 0.877248    
## brandAs Picture Show              6.308e+01  2.013e+01   3.134 0.001755 ** 
## brandAs Picture Shown             5.051e+01  2.702e+01   1.869 0.061793 .  
## brandAS PICTURE SHOWN             7.651e+01  2.702e+01   2.831 0.004695 ** 
## brandAs Show                      2.315e+01  1.630e+01   1.420 0.155707    
## brandAS SHOW                      2.799e+01  1.709e+01   1.638 0.101652    
## brandas showed                   -1.464e+01  1.912e+01  -0.766 0.443893    
## brandAs shown                     6.633e+00  2.210e+01   0.300 0.764104    
## brandAs Shown                     1.956e+01  1.912e+01   1.023 0.306458    
## brandAS SHOWN                     1.281e+01  1.634e+01   0.784 0.432994    
## brandAssorted                    -3.501e+01  2.012e+01  -1.740 0.082081 .  
## brandASST                        -2.230e+01  2.702e+01  -0.825 0.409372    
## brandAtelier Cologne             -1.193e+01  2.702e+01  -0.442 0.658876    
## brandAtlantic                     1.933e+01  2.702e+01   0.715 0.474466    
## brandAvon                        -1.633e+01  1.684e+01  -0.970 0.332432    
## brandAXE                         -1.583e+01  2.207e+01  -0.717 0.473283    
## brandAzzaro                       5.721e-01  1.665e+01   0.034 0.972587    
## brandBaby Phat                    3.812e+01  2.702e+01   1.411 0.158433    
## brandBanana Republic             -2.153e+01  2.701e+01  -0.797 0.425614    
## brandBaron                       -1.494e+01  2.701e+01  -0.553 0.580285    
## brandBath & Body Works           -7.987e+00  1.745e+01  -0.458 0.647285    
## brandBellie Eilish                8.161e+00  2.702e+01   0.302 0.762634    
## brandBenetton                    -3.214e+00  2.706e+01  -0.119 0.905453    
## brandBentley                     -2.026e+01  1.911e+01  -1.060 0.289166    
## brandBharara                      1.243e+01  2.016e+01   0.617 0.537461    
## brandBHARARA                      1.634e+01  2.205e+01   0.741 0.458872    
## brandBlue Perfumes               -2.187e+01  2.704e+01  -0.809 0.418811    
## brandBOD man                     -3.333e+01  2.702e+01  -1.234 0.217495    
## brandBond No. 9                   1.593e+01  2.016e+01   0.790 0.429609    
## brandBoucheron                   -1.232e+01  2.014e+01  -0.612 0.540853    
## brandBranded                     -2.533e+01  2.702e+01  -0.938 0.348592    
## brandBritney Spears              -2.150e+01  1.746e+01  -1.231 0.218453    
## brandBrut                        -2.497e+01  2.704e+01  -0.923 0.355967    
## brandBRUT                        -2.845e+01  2.207e+01  -1.289 0.197626    
## brandBurberry                     1.255e+00  1.608e+01   0.078 0.937820    
## brandBURBERRY                    -2.394e+01  2.702e+01  -0.886 0.375690    
## brandBvlgari                      1.296e+00  1.699e+01   0.076 0.939195    
## brandBy Al Hambra                -2.573e+01  2.208e+01  -1.166 0.243958    
## brandByredo                       2.816e+01  2.702e+01   1.042 0.297401    
## brandBYREDO                       5.916e+01  2.702e+01   2.190 0.028684 *  
## brandC.K                         -1.010e+01  2.714e+01  -0.372 0.709780    
## brandCacharel                    -7.136e+00  1.807e+01  -0.395 0.692869    
## brandCalvin Klein                -1.538e+01  1.607e+01  -0.957 0.338738    
## brandCarolina Herrera             1.506e+01  1.597e+01   0.943 0.345823    
## brandCartier                      1.572e+01  2.210e+01   0.711 0.477023    
## brandChaka by Chaka Khan         -5.304e+00  2.734e+01  -0.194 0.846210    
## brandChanel                      -1.686e+01  2.704e+01  -0.623 0.533087    
## brandCHANEL                       1.299e+01  1.657e+01   0.784 0.433004    
## brandCHANGE For Women            -1.668e+01  2.702e+01  -0.617 0.537168    
## brandChloe                       -2.884e+01  2.702e+01  -1.067 0.285924    
## brandChloé                        2.531e+01  2.702e+01   0.937 0.348961    
## brandChopard                     -1.060e+01  2.702e+01  -0.392 0.694873    
## brandChristian Audigier          -2.064e+01  2.015e+01  -1.024 0.306006    
## brandChristian Dior               1.148e+02  2.216e+01   5.180 2.51e-07 ***
## brandCHRISTIAN DIOR              -2.198e+01  2.702e+01  -0.813 0.416066    
## brandClassic Brands              -2.543e+01  2.701e+01  -0.941 0.346656    
## brandClassic Erotica             -2.255e+01  2.702e+01  -0.834 0.404139    
## brandClean                       -4.272e+00  2.015e+01  -0.212 0.832128    
## brandClinique                    -1.316e+01  1.675e+01  -0.785 0.432330    
## brandClive Christian             -3.648e+01  2.702e+01  -1.350 0.177187    
## brandClubman Pinaud              -2.733e+01  2.702e+01  -1.011 0.311982    
## brandCoach                       -6.364e+00  1.637e+01  -0.389 0.697505    
## brandCologne                     -3.990e+00  1.655e+01  -0.241 0.809538    
## brandCoty                        -2.536e+01  2.013e+01  -1.260 0.207994    
## brandCoty Inc.                   -3.411e+01  2.702e+01  -1.263 0.206925    
## brandCreed                       -1.575e+01  1.726e+01  -0.913 0.361579    
## brandCuba                        -2.828e+01  2.704e+01  -1.046 0.295813    
## brandCURVE                       -2.650e+01  2.701e+01  -0.981 0.326747    
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## brandDavid Beckham               -1.857e+00  2.704e+01  -0.069 0.945249    
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## brandDesigner Series             -2.397e+01  2.205e+01  -1.087 0.277306    
## brandDiesel                      -9.513e+00  1.851e+01  -0.514 0.607340    
## brandDior                         3.135e+01  1.662e+01   1.886 0.059446 .  
## branddiptyque                    -1.433e+01  2.702e+01  -0.530 0.595920    
## brandDKNY                        -2.688e+01  2.702e+01  -0.995 0.319929    
## brandDoes not apply              -2.698e+01  2.702e+01  -0.999 0.318101    
## brandDolce & Gabbana             -7.322e-01  1.627e+01  -0.045 0.964110    
## brandDolce Gabbana               -2.839e+00  2.702e+01  -0.105 0.916321    
## brandDolce&Gabbana                4.443e+00  1.588e+01   0.280 0.779700    
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## brandDvyne Fragrances            -3.532e+01  2.702e+01  -1.307 0.191243    
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## brandElixir                       6.687e+01  2.702e+01   2.475 0.013429 *  
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## brandElizabeth And James Nirvana -2.271e+01  2.702e+01  -0.841 0.400717    
## brandElizabeth Arden             -1.511e+01  1.688e+01  -0.895 0.370842    
## brandElizabeth Taylor            -1.795e+01  1.745e+01  -1.028 0.303898    
## brandEllis Brooklyn              -1.863e+01  2.013e+01  -0.925 0.354986    
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## brandemper                       -1.953e+01  2.702e+01  -0.723 0.469902    
## brandEmporio Armani               3.077e+01  1.846e+01   1.666 0.095824 .  
## brandEnglish Laundry             -1.281e+01  2.702e+01  -0.474 0.635468    
## brandEscada                      -9.008e-01  2.021e+01  -0.045 0.964446    
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## brandEstee Lauder                -1.634e+01  2.204e+01  -0.741 0.458568    
## brandEstée Lauder                -9.638e+00  1.676e+01  -0.575 0.565283    
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## brandEX NIHILO                    5.816e+01  2.702e+01   2.153 0.031485 *  
## brandFalic Fashion Group         -8.877e+00  2.704e+01  -0.328 0.742728    
## brandFC                          -2.862e+01  2.702e+01  -1.059 0.289585    
## brandFive Star Fragrance          9.786e+00  2.706e+01   0.362 0.717638    
## brandFLOWER                       1.233e+01  2.702e+01   0.456 0.648202    
## brandFM                          -2.606e+01  2.733e+01  -0.953 0.340512    
## brandFragonard                    1.932e+01  1.913e+01   1.010 0.312626    
## brandfragrance                   -2.492e+00  2.702e+01  -0.092 0.926531    
## brandFragrance Couture           -2.586e+01  2.206e+01  -1.172 0.241407    
## brandFragrance World             -1.288e+01  2.207e+01  -0.584 0.559534    
## brandFranck Olivier              -2.154e+01  2.014e+01  -1.069 0.285073    
## brandFred Hayman                 -1.270e+01  2.702e+01  -0.470 0.638447    
## brandFrederic Malle              -2.888e+01  2.702e+01  -1.069 0.285255    
## brandFuller Armand Dupree         1.321e+00  2.702e+01   0.049 0.961007    
## brandGap                         -1.618e+01  2.208e+01  -0.733 0.463739    
## brandGeneric                     -3.084e+01  2.702e+01  -1.141 0.253837    
## brandGianni Versace               9.670e+00  1.848e+01   0.523 0.600876    
## brandGiardini Di Toscana          1.043e+02  2.702e+01   3.861 0.000117 ***
## brandGiorgi^o Armani              3.001e+00  2.207e+01   0.136 0.891854    
## brandGiorgio Arm.ani             -3.139e+00  2.702e+01  -0.116 0.907516    
## brandGIORGIO ARM.ANI             -2.177e+00  2.704e+01  -0.081 0.935834    
## brandGiorgio Armani               1.069e+01  1.584e+01   0.675 0.500072    
## brandGiorgio Beverly Hills       -1.575e+01  2.209e+01  -0.713 0.475902    
## brandGIORGIO BEVERLY HILLS       -1.578e+01  2.709e+01  -0.583 0.560245    
## brandGiorgio² Armani              8.243e-01  2.015e+01   0.041 0.967377    
## brandGivenchy                     1.321e+01  1.630e+01   0.810 0.417815    
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## brandGloria Vanderbilt           -1.842e+01  2.712e+01  -0.679 0.497134    
## brandGloss Moderne               -6.769e+00  2.702e+01  -0.250 0.802239    
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## brandGucci                        1.289e+01  1.622e+01   0.794 0.427046    
## brandGuerlain                     2.546e+00  1.844e+01   0.138 0.890218    
## brandGUERLAIN PARIS               5.668e+01  2.702e+01   2.098 0.036080 *  
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## brandGuy Laroche                 -1.987e+01  1.848e+01  -1.075 0.282567    
## brandGwen Stefani                 4.767e+01  2.207e+01   2.160 0.030935 *  
## brandHalloween                   -1.325e+01  2.702e+01  -0.490 0.623856    
## brandHalston                     -2.439e+01  2.206e+01  -1.106 0.269046    
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## brandHave A Scent                -3.333e+01  2.702e+01  -1.234 0.217492    
## brandHeaven Scents                9.667e+01  2.702e+01   3.578 0.000357 ***
## brandHermes                      -2.087e+01  2.014e+01  -1.036 0.300311    
## brandHERMÈS                       1.468e+01  1.655e+01   0.887 0.375352    
## brandHINODE                       4.952e+01  2.702e+01   1.833 0.067064 .  
## brandHollister                   -1.524e+01  1.800e+01  -0.846 0.397426    
## brandHoubigant                    2.914e+01  2.704e+01   1.078 0.281303    
## brandHuda Beauty                 -2.688e+01  2.702e+01  -0.995 0.319929    
## brandHuda Beauty Kayali           1.709e-01  2.702e+01   0.006 0.994952    
## brandHugo Boss                    6.486e+00  2.206e+01   0.294 0.768790    
## brandHUGO BOSS                   -4.022e+00  1.745e+01  -0.230 0.817792    
## brandHybrid & Company            -1.913e+01  2.702e+01  -0.708 0.478970    
## brandIssey Miyake                 2.436e+00  2.018e+01   0.121 0.903923    
## brandISSEY MIYAKE                -1.348e+00  1.915e+01  -0.070 0.943891    
## brandJ Lo                        -1.768e+01  2.702e+01  -0.654 0.513035    
## brandJ. Del Pozo                 -7.936e+00  1.806e+01  -0.439 0.660416    
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## brandJean couturier              -9.254e+00  2.706e+01  -0.342 0.732373    
## brandJean Paul Gaultier           2.656e+01  1.679e+01   1.582 0.113834    
## brandJeanne Arthes               -1.217e+01  2.702e+01  -0.450 0.652457    
## brandJennifer Lopez              -1.137e+01  2.212e+01  -0.514 0.607282    
## brandJessica McClintock          -2.187e+01  2.207e+01  -0.991 0.321836    
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## brandJimmy Choo                   5.378e-01  1.645e+01   0.033 0.973928    
## brandJLO                         -4.394e+00  2.706e+01  -0.162 0.871004    
## brandJo Malone                    2.926e+01  1.614e+01   1.813 0.070056 .  
## brandJohn Varvatos                1.109e+00  1.914e+01   0.058 0.953789    
## brandJoop                        -1.231e+01  2.207e+01  -0.558 0.577037    
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## brandJuicy Couture               -1.209e+01  1.668e+01  -0.725 0.468792    
## brandJuliette has a gun          -4.950e+00  1.710e+01  -0.289 0.772278    
## brandJuliette Has a Gun           7.481e+00  2.702e+01   0.277 0.781907    
## brandJuliette Has A Gun           1.832e+01  2.702e+01   0.678 0.497850    
## brandJustin Bieber                3.467e+01  2.702e+01   1.283 0.199565    
## brandKarl Lagerfeld              -1.785e+01  2.209e+01  -0.808 0.419234    
## brandKate Spade                  -1.117e+01  2.015e+01  -0.554 0.579533    
## brandKate Spade New York         -2.127e+01  2.702e+01  -0.787 0.431338    
## brandKaty Perry                  -1.893e+01  2.205e+01  -0.859 0.390671    
## brandKenneth Cole                -1.790e+01  1.745e+01  -1.026 0.305114    
## brandKenneth Cole Reaction       -1.587e+01  2.704e+01  -0.587 0.557417    
## brandKENZO                        1.065e+01  1.912e+01   0.557 0.577645    
## brandKhadlaj                     -4.992e+00  1.910e+01  -0.261 0.793802    
## brandKilian                       2.013e+01  1.687e+01   1.193 0.233140    
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## brandking of kings                3.667e+01  2.702e+01   1.357 0.174911    
## brandKING OF KINGS                3.667e+01  2.702e+01   1.357 0.174913    
## brandL'Artisan                    7.101e+00  2.702e+01   0.263 0.792708    
## brandL’OCCITANE                   2.014e+01  2.704e+01   0.745 0.456430    
## brandLacoste                      1.737e+00  1.851e+01   0.094 0.925243    
## brandLake&skye                    5.816e+01  2.702e+01   2.153 0.031486 *  
## brandLalique                     -1.494e+01  1.803e+01  -0.828 0.407584    
## brandLancome                      1.183e+01  2.015e+01   0.587 0.557305    
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## brandLancôme                      2.552e+00  1.604e+01   0.159 0.873642    
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## brandLattafa Perfumes            -1.484e+01  2.702e+01  -0.549 0.582900    
## brandLauren Ralph Lauren         -3.782e+00  2.702e+01  -0.140 0.888705    
## brandLe Labo                     -1.216e+01  2.015e+01  -0.603 0.546352    
## brandLimited Edition              2.259e+01  2.733e+01   0.827 0.408556    
## brandLiz Claiborne               -1.598e+01  1.695e+01  -0.942 0.346154    
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## brandLolita Lempicka             -2.008e+00  2.702e+01  -0.074 0.940745    
## brandLomani                      -3.054e+00  2.015e+01  -0.152 0.879555    
## brandLouis Vuitton               -2.820e+01  2.016e+01  -1.399 0.162050    
## brandlove luxe beauty            -2.067e+01  2.702e+01  -0.765 0.444448    
## brandLucianno                     2.309e+01  2.733e+01   0.845 0.398265    
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## brandLuxury                      -2.819e+01  2.704e+01  -1.042 0.297359    
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## brandMaison                      -1.358e+01  2.702e+01  -0.503 0.615375    
## brandMaison Alhambra             -1.557e+01  1.675e+01  -0.930 0.352573    
## brandMAISON ALHAMBRA             -1.333e+01  2.702e+01  -0.493 0.621763    
## brandMaison Francis Kurkdjian     1.089e+02  2.206e+01   4.937 8.79e-07 ***
## brandMaison Margiela              2.337e+01  1.852e+01   1.262 0.207283    
## brandMaison Martin Margiela      -4.536e+00  2.210e+01  -0.205 0.837389    
## brandMancera                      8.488e+00  1.847e+01   0.460 0.645830    
## brandMandarin Duck               -1.087e+01  2.704e+01  -0.402 0.687814    
## brandMarc Jacobs                  1.205e+01  1.673e+01   0.720 0.471346    
## brandMarilyn Miglin              -1.183e+01  2.702e+01  -0.438 0.661557    
## brandMary Kay                    -1.332e+01  2.702e+01  -0.493 0.622025    
## brandMEM                         -7.669e+00  2.702e+01  -0.284 0.776601    
## brandMercedes Benz                3.013e+00  2.704e+01   0.111 0.911299    
## brandMercedes-Benz                4.838e+00  1.916e+01   0.253 0.800644    
## brandMetaHerbal Labs             -3.372e+00  2.702e+01  -0.125 0.900697    
## brandMFK                          7.051e+01  2.702e+01   2.609 0.009160 ** 
## brandMichael Jordan              -2.219e+01  2.207e+01  -1.005 0.314860    
## brandMichael Kors                -7.626e+00  1.910e+01  -0.399 0.689801    
## brandMichael Malul                3.051e+01  2.702e+01   1.129 0.259076    
## brandMichael Malul Gents Scents   5.038e+01  2.702e+01   1.864 0.062466 .  
## brandMichael Malul London         4.057e+01  2.208e+01   1.838 0.066310 .  
## brandMichel Germain               2.333e+00  2.704e+01   0.086 0.931258    
## brandMiim Miic                   -8.719e+00  2.702e+01  -0.323 0.746998    
## brandMilestone Perfumes          -1.896e+01  2.205e+01  -0.860 0.390010    
## brandMiraclelayer                -1.483e+01  2.702e+01  -0.549 0.583156    
## brandMirage Brands               -2.519e+01  2.210e+01  -1.140 0.254522    
## brandMissoni                     -1.325e+01  2.702e+01  -0.490 0.623857    
## brandMont Blanc                  -4.556e+00  1.910e+01  -0.239 0.811519    
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## brandMontblanc                   -1.800e+00  1.744e+01  -0.103 0.917802    
## brandMontBlanc                   -9.822e+00  2.207e+01  -0.445 0.656371    
## brandMoschino                    -1.319e+01  1.726e+01  -0.764 0.444812    
## brandMultiple Brands             -2.701e+01  2.206e+01  -1.224 0.221096    
## brandMyrurgia                    -2.926e+01  2.211e+01  -1.323 0.185882    
## brandNarciso Rodriguez            9.473e+00  1.711e+01   0.554 0.579797    
## brandNatalie                     -3.584e+01  2.702e+01  -1.327 0.184843    
## brandNautica                     -1.767e+01  1.915e+01  -0.922 0.356416    
## brandNest                        -2.568e+01  2.702e+01  -0.950 0.342098    
## brandNIKOS                       -2.663e+01  2.704e+01  -0.985 0.324856    
## brandNina Ricci                   8.114e+01  2.704e+01   3.001 0.002735 ** 
## brandOld Spice                   -2.333e+01  2.702e+01  -0.864 0.387945    
## brandOne Direction                5.346e+00  2.207e+01   0.242 0.808621    
## brandOscar de la Renta           -2.211e+00  1.917e+01  -0.115 0.908212    
## brandOuai                        -1.123e+01  1.911e+01  -0.587 0.556964    
## brandPacifica                    -2.077e+01  2.702e+01  -0.769 0.442246    
## brandPaco Rabanne                 1.767e+01  1.597e+01   1.107 0.268524    
## brandPaloma Picasso               1.706e+00  2.706e+01   0.063 0.949731    
## brandParfum                       3.916e+01  2.702e+01   1.450 0.147390    
## brandParfums                     -1.645e+01  2.705e+01  -0.608 0.543156    
## brandParfums de Marly             3.157e+01  1.616e+01   1.953 0.050955 .  
## brandParfums Gres                -1.675e+01  2.706e+01  -0.619 0.535842    
## brandParfums Grès                -1.671e+01  2.706e+01  -0.618 0.536812    
## brandParis Hilton                -1.776e+01  1.847e+01  -0.962 0.336293    
## brandPaul Sebastian              -2.171e+01  2.207e+01  -0.984 0.325361    
## brandPenhaligon's                 2.972e+01  2.015e+01   1.475 0.140532    
## brandPerfume                     -1.021e+01  2.702e+01  -0.378 0.705630    
## brandPerfumer's Workshop         -1.744e+01  2.706e+01  -0.645 0.519298    
## brandPerry Ellis                 -6.767e+00  1.772e+01  -0.382 0.702625    
## brandPheromones                  -5.907e+00  2.704e+01  -0.218 0.827093    
## brandPhillips-Van Heusen         -1.761e+01  2.704e+01  -0.651 0.515019    
## brandPhilosophy                  -6.175e+00  1.804e+01  -0.342 0.732132    
## brandPHLUR                       -2.634e+01  2.702e+01  -0.975 0.329744    
## brandPierre Cardin               -3.272e+01  2.206e+01  -1.483 0.138160    
## brandPINK                        -1.322e+01  2.702e+01  -0.489 0.624775    
## brandPink sugar                  -2.169e+00  2.702e+01  -0.080 0.936042    
## brandPleasing                     1.432e+01  2.702e+01   0.530 0.596189    
## brandPolo                         2.933e+00  2.704e+01   0.108 0.913642    
## brandPolo Ralph Lauren           -3.438e+00  1.680e+01  -0.205 0.837889    
## brandPrada                        4.290e+01  2.210e+01   1.942 0.052373 .  
## brandPRADA                        1.830e+01  1.634e+01   1.120 0.262944    
## brandPreferred Fragrance          1.770e+01  2.706e+01   0.654 0.513184    
## brandPrince Matchabelli          -2.073e+01  2.702e+01  -0.767 0.443104    
## brandPure Romance                 1.433e+01  2.702e+01   0.530 0.595923    
## brandQRC                         -8.669e+00  2.702e+01  -0.321 0.748396    
## brandRalph Lauren                -1.542e+00  1.594e+01  -0.097 0.922919    
## brandRasasi                      -6.771e+00  1.710e+01  -0.396 0.692257    
## brandRawChemistry                -1.237e+01  2.702e+01  -0.458 0.647076    
## brandRevlon                      -2.321e+01  2.706e+01  -0.858 0.391023    
## brandReyane Tradition            -1.438e+01  2.210e+01  -0.651 0.515242    
## brandREYANE TRADITION             4.188e+01  2.702e+01   1.550 0.121331    
## brandRihanna                     -2.934e+01  2.702e+01  -1.086 0.277657    
## brandRobert Piguet                1.759e+01  1.914e+01   0.919 0.358130    
## brandRoberto Cavalli              4.093e+00  2.704e+01   0.151 0.879712    
## brandRochas                      -1.431e+01  2.704e+01  -0.529 0.596784    
## brandRoja                         5.998e+01  1.909e+01   3.141 0.001713 ** 
## brandRoja Dove                    8.051e+01  2.702e+01   2.979 0.002933 ** 
## brandRoja Parfums                 3.051e+01  2.702e+01   1.129 0.259076    
## brandrue21                       -1.832e+01  2.702e+01  -0.678 0.497780    
## brandSabrina Carpenter           -1.184e+01  2.702e+01  -0.438 0.661288    
## brandSalvatore Ferragamo         -9.405e+00  1.699e+01  -0.554 0.579894    
## brandSarah Jessica Parker        -1.333e+01  2.014e+01  -0.662 0.508208    
## brandSean John                   -1.714e+01  2.014e+01  -0.851 0.395021    
## brandSECERTMU                    -3.223e+01  1.727e+01  -1.866 0.062179 .  
## brandSEE PHOTO                   -1.168e+01  2.702e+01  -0.432 0.665656    
## brandSisley                       1.432e+01  2.702e+01   0.530 0.596190    
## brandSnif                        -2.072e+01  2.702e+01  -0.767 0.443347    
## brandSol De Janeiro              -9.439e+00  1.847e+01  -0.511 0.609320    
## brandSpiritual Sky               -2.268e+01  2.702e+01  -0.839 0.401437    
## brandSterling                    -3.282e+00  2.208e+01  -0.149 0.881832    
## brandSuperz Budapest              8.209e+01  2.733e+01   3.004 0.002709 ** 
## brandT.O.V.A.                    -1.327e+01  2.205e+01  -0.602 0.547299    
## brandTaylor Swift                -2.913e+01  2.207e+01  -1.320 0.187049    
## brandTed Lapidus                 -1.467e+01  2.702e+01  -0.543 0.587175    
## brandTerritoire                  -3.299e+01  2.702e+01  -1.221 0.222296    
## brandTF                           2.816e+01  2.702e+01   1.042 0.297402    
## brandThe Baron                   -8.332e+00  2.702e+01  -0.308 0.757831    
## brandThe Body Shop               -1.190e+01  2.706e+01  -0.440 0.660016    
## brandThierry Mugler               6.868e+00  1.641e+01   0.418 0.675683    
## brandTiffany                      1.113e+01  2.704e+01   0.412 0.680605    
## brandTiffany & Co.               -1.531e+01  2.706e+01  -0.566 0.571465    
## brandTiziana Terenzi             -2.225e+01  2.734e+01  -0.814 0.415843    
## brandTom Ford                     4.795e+00  1.743e+01   0.275 0.783324    
## brandTommy Bahama                -1.494e+01  1.912e+01  -0.781 0.434865    
## brandTommy Hilfiger              -1.446e+01  1.848e+01  -0.782 0.434148    
## brandTopshelf                     9.667e+01  2.702e+01   3.578 0.000357 ***
## brandTory Burch                  -2.188e+01  2.702e+01  -0.810 0.418151    
## brandTous                        -9.564e+00  2.706e+01  -0.353 0.723762    
## brandTru Fragrance               -1.188e+01  2.702e+01  -0.440 0.660216    
## brandTrue Religion               -1.685e+01  2.701e+01  -0.624 0.532924    
## brandUlric de Varens             -1.686e+01  2.704e+01  -0.623 0.533101    
## brandULTA                         2.021e+01  2.702e+01   0.748 0.454591    
## brandUnbranded                   -1.680e+01  1.590e+01  -1.056 0.291106    
## brandUnited Colors of Benetton   -6.214e+00  2.706e+01  -0.230 0.818374    
## brandunited scents               -3.449e+01  2.702e+01  -1.276 0.201992    
## brandUOMO                         1.613e+01  2.704e+01   0.597 0.550844    
## brandUrban Outfitters            -1.684e+01  2.702e+01  -0.623 0.533184    
## brandValentino                    3.173e+01  1.633e+01   1.943 0.052239 .  
## brandVera Wang                   -1.134e+01  2.021e+01  -0.561 0.574707    
## brandVersace                      2.650e-01  1.592e+01   0.017 0.986723    
## brandVicki Tiel                  -2.284e+01  2.701e+01  -0.845 0.398006    
## brandVictor & Rolf                2.511e+01  2.702e+01   0.929 0.352955    
## brandVICTOR MANUELLE             -9.492e+00  2.702e+01  -0.351 0.725430    
## brandVictoria's Secret           -6.774e+00  1.620e+01  -0.418 0.675839    
## brandViktor & Rolf                7.965e+00  1.655e+01   0.481 0.630411    
## brandVilhelm Parfumerie           6.716e+01  2.702e+01   2.486 0.013024 *  
## brandVince Camuto                -1.974e+01  2.206e+01  -0.895 0.371033    
## brandXerjoff                     -6.268e+00  2.015e+01  -0.311 0.755747    
## brandYardley London              -1.497e+01  2.207e+01  -0.678 0.497696    
## brandysl                         -8.572e-01  2.704e+01  -0.032 0.974713    
## brandYSL                          2.990e+00  1.802e+01   0.166 0.868267    
## brandYves de Sistelle            -1.956e+01  2.210e+01  -0.885 0.376178    
## brandYves Saint Laurent           1.411e+01  1.590e+01   0.887 0.374978    
## brandZara                        -9.988e+00  1.802e+01  -0.554 0.579545    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 22.04 on 1575 degrees of freedom
## Multiple R-squared:  0.4889, Adjusted R-squared:  0.3581 
## F-statistic: 3.738 on 403 and 1575 DF,  p-value: < 2.2e-16

## 
## 模型对比:加入品牌前后
## ====================================================================
##                                   Dependent variable:               
##                     ------------------------------------------------
##                                          price                      
##                               (1)                     (2)           
## --------------------------------------------------------------------
## gender                      8.49***                 7.65***         
##                             (1.27)                   (1.45)         
##                                                                     
## EDT                        -10.65***               -10.62***        
##                             (1.46)                   (1.55)         
##                                                                     
## Other                      -12.20***                -6.16***        
##                             (1.62)                   (1.91)         
##                                                                     
## Parfum                       5.45                    -6.57          
##                             (4.34)                   (4.25)         
##                                                                     
## sold                       -0.001***                -0.0000         
##                            (0.0002)                 (0.0002)        
##                                                                     
## --------------------------------------------------------------------
## Observations                 1,979                   1,979          
## R2                           0.06                     0.49          
## Adjusted R2                  0.06                     0.36          
## Residual Std. Error    26.69 (df = 1973)       22.04 (df = 1575)    
## F Statistic         25.48*** (df = 5; 1973) 3.74*** (df = 403; 1575)
## ====================================================================
## Note:                                    *p<0.1; **p<0.05; ***p<0.01

8. 结论与分析

(1)研究总结

基于eBay平台男女香水交易数据,通过「数据预处理→探索性分析→统计检验→多元回归建模」完整框架,以价格为因变量,系统探究性别、香水浓度、销量及品牌的定价影响机制,为市场研究提供数据支撑。

(2)核心结论

  1. 性别驱动定价差异:女性香水价格中位数更高、离散度更大,与男性香水市场形成功能导向vs情感价值的清晰分割。
  2. 浓度决定价格梯队:按浓香精(Parfum)>淡香精(EDP)>其他>淡香水(EDT)排序,浓度是定价核心锚点。
  3. 销量无显著影响:价格与销量相关系数趋近0,回归p值=0.999,香水消费非价格敏感型,决策依赖非价格因素。
  4. 品牌为核心主导:加入品牌后模型拟合优度显著提升,头部品牌集中度高,溢价能力与壁垒主导定价体系。

(3)局限与展望

  1. 局限:单平台截面数据,未纳入容量、促销、季节等变量;
  2. 拓展:可引入多平台面板数据,增加品牌档次、香型等细分变量;
  3. 应用:女性高端市场强化品牌与浓度溢价,男性市场聚焦性价比。