https://stackoverflow.com/questions/48103030/qabstratcttablemodel-removerows

main.py

from PySide2.QtWidgets import *
from PySide2.QtCore import *

class Model(QAbstractTableModel):
    def __init__(self, cycles = [[]], headers = [], parent = None):
        QAbstractTableModel.__init__(self, parent)
        self.cycles = cycles
        self.headers = headers
        self.values_checked = []
        self.column_count = len(self.cycles[0])

    def rowCount(self, parent=QModelIndex()):
        return len(self.cycles)

    def columnCount(self, parent=QModelIndex()):
        return self.column_count

    def flags(self, index):
        fl = Qt.ItemIsEnabled | Qt.ItemIsSelectable 
        if index.column() == 0:
            fl |= Qt.ItemIsUserCheckable
        else:
            fl |= Qt.ItemIsEditable
        return fl

    def data(self, index, role):
        if not index.isValid():
            return 
        row = index.row()
        column = index.column()

        if role == Qt.DisplayRole:
            value = self.cycles[row][column]
            return value

        elif role == Qt.TextAlignmentRole:
            return Qt.AlignCenter;

        elif role == Qt.CheckStateRole and column==0:
            return Qt.Checked if self.cycles[row][column] else Qt.Unchecked


    def setData(self, index, value, role = Qt.EditRole):
        change = False
        row = index.row()
        column = index.column()

        if role == Qt.CheckStateRole:
            value =  value != Qt.Unchecked
            change = True
        if role == Qt.EditRole:
            if (column == 1) or (column == 4):
                try:
                    str(value)
                    change = True
                except:
                    pm.warning("Not a valid name")
                    change = False
            elif (column == 2):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid frame")
                    change = False
            elif (column == 3):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid frame")
                    change = False

            elif (column == 5):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid version number")
                    change = False
        if change:
            self.cycles[row][column] = value
            self.dataChanged.emit(row, column)
            return True
        return False            

    def headerData(self, section, orientation, role):
        if role == Qt.DisplayRole:
            if orientation == Qt.Horizontal:
                return self.headers[section]

    def insertRows(self, position, rows, values = [] , parent =QModelIndex()):
        self.beginInsertRows(parent, position, position+rows-1)
        self.cycles.insert(position, values)
        self.endInsertRows()
        self.getData()

    def roleNames(self):
        roles = QAbstractTableModel.roleNames(self)
        roles["Checked"] = Qt.CheckStateRole
        return roles


    def removeRow(self, row, parent=QModelIndex()):
        self.beginRemoveRows(parent, row, row)
        self.cycles.remove(self.cycles[row])
        self.endRemoveRows()
        self.getData()

    def getData(self):
            rows = self.rowCount(1)
            data = []
            for row in range(rows):
                array = []
                for column in range (6):
                    index = self.index(row, column)
                    info = index.data()
                    array.append(info)              
                data.append(array)

            dic = {}
            for item in data:
                dic[item[1]]=item

            print("")
            print("data:")
            print('')
            for key in dic:
                print(key, dic[key])


class EmptyDelegate(QStyledItemDelegate):
    def paint(self, painter, option, index):
        opt = QStyleOptionViewItem(option)
        self.initStyleOption(opt, index)
        opt.text = ""
        QApplication.style().drawControl(QStyle.CE_ItemViewItem, opt, painter)


class ButtonDelegate(QItemDelegate):
    def __init__(self, parent):
        QItemDelegate.__init__(self, parent)

    def paint(self, painter, option, index):
        widget = QWidget()
        layout = QHBoxLayout()
        widget.setLayout(layout)
        btn = QPushButton("X")
        ix = QPersistentModelIndex(index)
        btn.clicked.connect(lambda ix = ix : self.onClicked(ix))
        layout.addWidget(btn)
        layout.setContentsMargins(2,2,2,2)
        if not self.parent().indexWidget(index):
            self.parent().setIndexWidget(index, widget)

    def onClicked(self, ix):
        model = ix.model()
        model.removeRow(ix.row())
        self.parent().clearSelection()

class Table(QTableView):
    def __init__(self, *args, **kwargs):
        QTableView.__init__(self, *args, **kwargs)
        self.setItemDelegateForColumn(6, ButtonDelegate(self))
        self.setItemDelegateForColumn(0, EmptyDelegate(self))
        self.setSortingEnabled(True)

if __name__ == '__main__':
    import sys

    app = QApplication(sys.argv)
    w = Table()
    headers = ["Select", "  Cycle Name  ", " Start ", "  End  ", "Info", "Version", " Del "]
    cycles = [[True,"idle","1","70","cool information","0", "deleteBtnPlaceHolder"]]*10
    model = Model(cycles, headers)
    w.setModel(model)
    w.show()
    sys.exit(app.exec_())

main2.py

from PySide2.QtWidgets import *
from PySide2.QtCore import *

class Model(QAbstractTableModel):
    def __init__(self, cycles = [[]], headers = [], parent = None):
        QAbstractTableModel.__init__(self, parent)
        self.cycles = cycles
        self.headers = headers
        self.values_checked = []
        self.column_count = len(self.cycles[0])

    def rowCount(self, parent=QModelIndex()):
        return len(self.cycles)

    def columnCount(self, parent=QModelIndex()):
        return self.column_count

    def flags(self, index):
        fl = Qt.ItemIsEnabled | Qt.ItemIsSelectable 
        if index.column() == 0:
            fl |= Qt.ItemIsUserCheckable
        else:
            fl |= Qt.ItemIsEditable
        return fl

    def data(self, index, role):
        if not index.isValid():
            return 
        row = index.row()
        column = index.column()

        if role == Qt.DisplayRole:
            value = self.cycles[row][column]
            return value

        elif role == Qt.TextAlignmentRole:
            return Qt.AlignCenter;

        elif role == Qt.CheckStateRole and column==0:
            return Qt.Checked if self.cycles[row][column] else Qt.Unchecked


    def setData(self, index, value, role = Qt.EditRole):
        change = False
        row = index.row()
        column = index.column()

        if role == Qt.CheckStateRole:
            value =  value != Qt.Unchecked
            change = True
        if role == Qt.EditRole:
            if (column == 1) or (column == 4):
                try:
                    str(value)
                    change = True
                except:
                    pm.warning("Not a valid name")
                    change = False
            elif (column == 2):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid frame")
                    change = False
            elif (column == 3):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid frame")
                    change = False

            elif (column == 5):
                try:
                    int(value)
                    change = True
                except:
                    pm.warning("Not a valid version number")
                    change = False
        if change:
            self.cycles[row][column] = value
            self.dataChanged.emit(row, column)
            return True
        return False            

    def headerData(self, section, orientation, role):
        if role == Qt.DisplayRole:
            if orientation == Qt.Horizontal:
                return self.headers[section]

    def insertRows(self, position, rows, values = [] , parent =QModelIndex()):
        self.beginInsertRows(parent, position, position+rows-1)
        self.cycles.insert(position, values)
        self.endInsertRows()
        self.getData()

    def roleNames(self):
        roles = QAbstractTableModel.roleNames(self)
        roles["Checked"] = Qt.CheckStateRole
        return roles


    def removeRow(self, row, parent=QModelIndex()):
        self.beginRemoveRows(parent, row, row)
        self.cycles.remove(self.cycles[row])
        self.endRemoveRows()
        self.getData()

    def getData(self):
            rows = self.rowCount(1)
            data = []
            for row in range(rows):
                array = []
                for column in range (6):
                    index = self.index(row, column)
                    info = index.data()
                    array.append(info)              
                data.append(array)

            dic = {}
            for item in data:
                dic[item[1]]=item

            print("")
            print("data:")
            print('')
            for key in dic:
                print(key, dic[key])


class EmptyDelegate(QStyledItemDelegate):
    def paint(self, painter, option, index):
        opt = QStyleOptionViewItem(option)
        self.initStyleOption(opt, index)
        opt.text = ""
        QApplication.style().drawControl(QStyle.CE_ItemViewItem, opt, painter)

class ButtonDelegate(QStyledItemDelegate):
    def __init__(self, parent):
        QStyledItemDelegate.__init__(self, parent)
        self.state = QStyle.State_Enabled

    def paint(self, painter, option, index):
        button = QStyleOptionButton()
        button.rect = self.adjustRect(option.rect)
        button.text = "X"
        button.state = self.state
        QApplication.style().drawControl(QStyle.CE_PushButton, button, painter)

    def editorEvent(self, event, model, option, index):
        if event.type() == QEvent.Type.MouseButtonPress:
            self.state = QStyle.State_On
            return True
        elif event.type() == QEvent.Type.MouseButtonRelease:
            r = self.adjustRect(option.rect)
            if r.contains(event.pos()):
                model.removeRow(index.row())
            self.state = QStyle.State_Enabled
        return True

    @staticmethod
    def adjustRect(rect):
        r = QRect(rect)
        margin = QPoint(2, 2)
        r.translate(margin)
        r.setSize(r.size()-2*QSize(margin.x(), margin.y()))
        return r


class Table(QTableView):
    def __init__(self, *args, **kwargs):
        QTableView.__init__(self, *args, **kwargs)
        self.setItemDelegateForColumn(6, ButtonDelegate(self))
        self.setItemDelegateForColumn(0, EmptyDelegate(self))
        self.setSortingEnabled(True)

if __name__ == '__main__':
    import sys

    app = QApplication(sys.argv)
    w = Table()
    headers = ["Select", "  Cycle Name  ", " Start ", "  End  ", "Info", "Version", " Del "]
    cycles = [[True,"idle","1","70","cool information","0", "deleteBtnPlaceHolder"]]*10
    model = Model(cycles, headers)
    w.setModel(model)
    w.show()
    sys.exit(app.exec_())