There are some alternatives to conventional one-way analysis of variance, e.g.: Welch's heteroscedastic F test, Welch's heteroscedastic F test with trimmed means and Winsorized variances, Brown-Forsythe test, Alexander-Govern test, James second order test and Kruskal-Wallis test, available in onewaytests R
ðɛɹˌɑːɹ sˌʌm ɔːltˈɜːnətˌɪvz tə kənvˈɛnʃənəl wˈʌnwˈeɪ ɐnˈæləsˌɪs ʌv vˈɛɹiəns, ˈiː.dʒˈiː.: wˈɛltʃɪz hˌɛɾɚɹˌoʊsɪdˈæstɪk ˈɛf tˈɛst, wˈɛltʃɪz hˌɛɾɚɹˌoʊsɪdˈæstɪk ˈɛf tˈɛst wɪð tɹˈɪmd mˈiːnz ænd wˈɪnsɚɹˌaɪzd vˈɛɹiənsᵻz, bɹˈaʊnfɔːɹsˈaɪð tˈɛst, ˌælɪɡzˈændɚɡˈʌvɚn tˈɛst, dʒˈeɪmz sˈɛkənd ˈɔːɹdɚ tˈɛst ænd kɹˈʌskəlwˈɔliz tˈɛst, ɐvˈeɪləbəl ɪn wˈʌnweɪɾɪsts ˈɑːɹ